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156019968 = 2832135209
BaseRepresentation
bin10010100110010…
…10110100000000
3101212120122011100
421103022310000
5304420114333
623252014400
73603101466
oct1123126400
9355518140
10156019968
1180084125
1244301400
1326429010
1416a14836
15da6d213
hex94cad00

156019968 has 108 divisors (see below), whose sum is σ = 484540420. Its totient is φ = 47996928.

The previous prime is 156019967. The next prime is 156019987. The reversal of 156019968 is 869910651.

It can be written as a sum of positive squares in 2 ways, for example, as 97772544 + 58247424 = 9888^2 + 7632^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156019961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27348 + ... + 32556.

Almost surely, 2156019968 is an apocalyptic number.

156019968 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 156019968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242270210).

156019968 is an abundant number, since it is smaller than the sum of its proper divisors (328520452).

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

156019968 is a wasteful number, since it uses less digits than its factorization.

156019968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5244 (or 5227 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 156019968 is about 12490.7953309627. The cubic root of 156019968 is about 538.3442286026.

It can be divided in two parts, 1560 and 19968, that added together give a triangular number (21528 = T207).

The spelling of 156019968 in words is "one hundred fifty-six million, nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 5209 7488 9984 10418 14976 15627 20836 29952 31254 41672 46881 62508 67717 83344 93762 125016 135434 166688 187524 203151 250032 270868 333376 375048 406302 500064 541736 609453 666752 750096 812604 1000128 1083472 1218906 1333504 1500192 1625208 2000256 2166944 2437812 3000384 3250416 4000512 4333888 4875624 6000768 6500832 8667776 9751248 12001536 13001664 17335552 19502496 26003328 39004992 52006656 78009984 156019968