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1350891216 = 243331149677
BaseRepresentation
bin101000010000100…
…1111011011010000
310111010221101101000
41100201033123100
510231312004331
6342014142000
745322246233
oct12041173320
93433841330
101350891216
116335a7624
123184b1900
13186b45c1c
14cb5ab41a
157d8e40e6
hex5084f6d0

1350891216 has 160 divisors (see below), whose sum is σ = 4035456000. Its totient is φ = 432207360.

The previous prime is 1350891211. The next prime is 1350891221. The reversal of 1350891216 is 6121980531.

1350891216 is a `hidden beast` number, since 1 + 350 + 8 + 91 + 216 = 666.

It is an interprime number because it is at equal distance from previous prime (1350891211) and next prime (1350891221).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350891211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1995070 + ... + 1995746.

It is an arithmetic number, because the mean of its divisors is an integer number (25221600).

Almost surely, 21350891216 is an apocalyptic number.

1350891216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1350891216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017728000).

1350891216 is an abundant number, since it is smaller than the sum of its proper divisors (2684564784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1350891216 is a wasteful number, since it uses less digits than its factorization.

1350891216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1350891216 is about 36754.4720544317. The cubic root of 1350891216 is about 1105.4526011171.

The spelling of 1350891216 in words is "one billion, three hundred fifty million, eight hundred ninety-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 149 186 216 248 279 298 372 432 447 496 558 596 677 744 837 894 1116 1192 1341 1354 1488 1674 1788 2031 2232 2384 2682 2708 3348 3576 4023 4062 4464 4619 5364 5416 6093 6696 7152 8046 8124 9238 10728 10832 12186 13392 13857 16092 16248 18279 18476 20987 21456 24372 27714 32184 32496 36558 36952 41571 41974 48744 55428 62961 64368 73116 73904 83142 83948 97488 100873 110856 124713 125922 146232 166284 167896 188883 201746 221712 249426 251844 292464 302619 332568 335792 377766 403492 498852 503688 566649 605238 665136 755532 806984 907857 997704 1007376 1133298 1210476 1511064 1613968 1815714 1995408 2266596 2420952 2723571 3022128 3127063 3631428 4533192 4841904 5447142 6254126 7262856 9066384 9381189 10894284 12508252 14525712 18762378 21788568 25016504 28143567 37524756 43577136 50033008 56287134 75049512 84430701 112574268 150099024 168861402 225148536 337722804 450297072 675445608 1350891216