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120651216 = 24371918899
BaseRepresentation
bin1110011000011…
…11110111010000
322102000201100120
413030033313100
5221341314331
615545550240
72663342550
oct714176720
9272021316
10120651216
1162117054
12344a5380
131bcc446a
1412049160
15a8d3796
hex730fdd0

120651216 has 80 divisors (see below), whose sum is σ = 374976000. Its totient is φ = 32655744.

The previous prime is 120651211. The next prime is 120651217. The reversal of 120651216 is 612156021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120651211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3066 + ... + 15833.

It is an arithmetic number, because the mean of its divisors is an integer number (4687200).

Almost surely, 2120651216 is an apocalyptic number.

120651216 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 120651216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488000).

120651216 is an abundant number, since it is smaller than the sum of its proper divisors (254324784).

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

120651216 is a wasteful number, since it uses less digits than its factorization.

120651216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18936 (or 18930 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 120651216 is about 10984.1347406157. The cubic root of 120651216 is about 494.1330483528.

The spelling of 120651216 in words is "one hundred twenty million, six hundred fifty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6384 18899 37798 56697 75596 113394 132293 151192 226788 264586 302384 359081 396879 453576 529172 718162 793758 907152 1058344 1077243 1436324 1587516 2116688 2154486 2513567 2872648 3175032 4308972 5027134 5745296 6350064 7540701 8617944 10054268 15081402 17235888 20108536 30162804 40217072 60325608 120651216