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70966272 = 2103131777
BaseRepresentation
bin1000011101011…
…01110000000000
311221112110102110
410032231300000
5121131410042
611013015320
71521126516
oct416556000
9157473373
1070966272
1137071013
121b924540
13119195a0
1495d44b6
15636c09c
hex43adc00

70966272 has 88 divisors (see below), whose sum is σ = 203815696. Its totient is φ = 21823488.

The previous prime is 70966271. The next prime is 70966319. The reversal of 70966272 is 27266907.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 70966272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70966271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39048 + ... + 40824.

Almost surely, 270966272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70966272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101907848).

70966272 is an abundant number, since it is smaller than the sum of its proper divisors (132849424).

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

70966272 is a wasteful number, since it uses less digits than its factorization.

70966272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 70966272 is about 8424.1481468455. The cubic root of 70966272 is about 414.0161957771.

The spelling of 70966272 in words is "seventy million, nine hundred sixty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 1777 2496 3072 3328 3554 4992 5331 6656 7108 9984 10662 13312 14216 19968 21324 23101 28432 39936 42648 46202 56864 69303 85296 92404 113728 138606 170592 184808 227456 277212 341184 369616 454912 554424 682368 739232 909824 1108848 1364736 1478464 1819648 2217696 2729472 2956928 4435392 5458944 5913856 8870784 11827712 17741568 23655424 35483136 70966272