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70936272 = 243211192357
BaseRepresentation
bin1000011101001…
…10011011010000
311221110221021100
410032212123100
5121124430042
611012224400
71520643201
oct416463320
9157427240
1070936272
1137050520
121b90b100
1311908a34
1495c75a8
15636324c
hex43a66d0

70936272 has 120 divisors (see below), whose sum is σ = 228065760. Its totient is φ = 20355840.

The previous prime is 70936267. The next prime is 70936303. The reversal of 70936272 is 27263907.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28918 + ... + 31274.

It is an arithmetic number, because the mean of its divisors is an integer number (1900548).

Almost surely, 270936272 is an apocalyptic number.

70936272 is a gapful number since it is divisible by the number (72) 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 70936272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114032880).

70936272 is an abundant number, since it is smaller than the sum of its proper divisors (157129488).

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

70936272 is a wasteful number, since it uses less digits than its factorization.

70936272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2401 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 70936272 is about 8422.3673631587. The cubic root of 70936272 is about 413.9578477002.

The spelling of 70936272 in words is "seventy million, nine hundred thirty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 33 36 38 44 48 57 66 72 76 88 99 114 132 144 152 171 176 198 209 228 264 304 342 396 418 456 528 627 684 792 836 912 1254 1368 1584 1672 1881 2357 2508 2736 3344 3762 4714 5016 7071 7524 9428 10032 14142 15048 18856 21213 25927 28284 30096 37712 42426 44783 51854 56568 77781 84852 89566 103708 113136 134349 155562 169704 179132 207416 233343 268698 311124 339408 358264 403047 414832 466686 492613 537396 622248 716528 806094 933372 985226 1074792 1244496 1477839 1612188 1866744 1970452 2149584 2955678 3224376 3733488 3940904 4433517 5911356 6448752 7881808 8867034 11822712 17734068 23645424 35468136 70936272