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1016461380 = 2235112715683
BaseRepresentation
bin111100100101011…
…111100001000100
32121211122120212210
4330211133201010
54040203231010
6244510143420
734121531154
oct7445374104
92554576783
101016461380
11481847530
122444b1b70
13132781a4c
1498dd4764
155e383b20
hex3c95f844

1016461380 has 96 divisors (see below), whose sum is σ = 3116832768. Its totient is φ = 245462400.

The previous prime is 1016461367. The next prime is 1016461393. The reversal of 1016461380 is 831646101.

1016461380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1016461367) and next prime (1016461393).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176019 + ... + 181701.

It is an arithmetic number, because the mean of its divisors is an integer number (32467008).

Almost surely, 21016461380 is an apocalyptic number.

1016461380 is a gapful number since it is divisible by the number (10) 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 1016461380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558416384).

1016461380 is an abundant number, since it is smaller than the sum of its proper divisors (2100371388).

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

1016461380 is a wasteful number, since it uses less digits than its factorization.

1016461380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5977 (or 5975 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1016461380 is about 31881.9914685391. The cubic root of 1016461380 is about 1005.4572904710.

The spelling of 1016461380 in words is "one billion, sixteen million, four hundred sixty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 271 330 542 660 813 1084 1355 1626 2710 2981 3252 4065 5420 5683 5962 8130 8943 11366 11924 14905 16260 17049 17886 22732 28415 29810 34098 35772 44715 56830 59620 62513 68196 85245 89430 113660 125026 170490 178860 187539 250052 312565 340980 375078 625130 750156 937695 1250260 1540093 1875390 3080186 3750780 4620279 6160372 7700465 9240558 15400930 16941023 18481116 23101395 30801860 33882046 46202790 50823069 67764092 84705115 92405580 101646138 169410230 203292276 254115345 338820460 508230690 1016461380