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156307968 = 29343769
BaseRepresentation
bin10010101000100…
…01001000000000
3101220010021020000
421110101020000
5310003323333
623302120000
73605411235
oct1124211000
9356107200
10156307968
1180260543
1244420000
13264ca12b
1416a8b78c
15dac8713
hex9511200

156307968 has 100 divisors (see below), whose sum is σ = 466661910. Its totient is φ = 52088832.

The previous prime is 156307951. The next prime is 156307969. The reversal of 156307968 is 869703651.

It is a happy number.

156307968 is a `hidden beast` number, since 1 + 5 + 630 + 7 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 110502144 + 45805824 = 10512^2 + 6768^2 .

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (156307969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39588 + ... + 43356.

Almost surely, 2156307968 is an apocalyptic number.

156307968 is a gapful number since it is divisible by the number (18) 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 156307968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233330955).

156307968 is an abundant number, since it is smaller than the sum of its proper divisors (310353942).

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

156307968 is an frugal number, since it uses more digits than its factorization.

156307968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3799 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 156307968 is about 12502.3185049814. The cubic root of 156307968 is about 538.6752713501.

The spelling of 156307968 in words is "one hundred fifty-six million, three hundred seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 3769 4608 5184 6912 7538 10368 11307 13824 15076 20736 22614 30152 33921 41472 45228 60304 67842 90456 101763 120608 135684 180912 203526 241216 271368 305289 361824 407052 482432 542736 610578 723648 814104 964864 1085472 1221156 1447296 1628208 1929728 2170944 2442312 2894592 3256416 4341888 4884624 5789184 6512832 8683776 9769248 13025664 17367552 19538496 26051328 39076992 52102656 78153984 156307968