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70528 = 271929
BaseRepresentation
bin10001001110000000
310120202011
4101032000
54224103
61302304
7412423
oct211600
9116664
1070528
1148a97
1234994
1326143
141b9ba
1515d6d
hex11380

70528 has 32 divisors (see below), whose sum is σ = 153000. Its totient is φ = 32256.

The previous prime is 70507. The next prime is 70529. The reversal of 70528 is 82507.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 70499 and 70508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70529) by changing a digit.

70528 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2418 + ... + 2446.

270528 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 70528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76500).

70528 is an abundant number, since it is smaller than the sum of its proper divisors (82472).

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

70528 is a wasteful number, since it uses less digits than its factorization.

70528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 70528 is about 265.5710827632. The cubic root of 70528 is about 41.3162144394.

The spelling of 70528 in words is "seventy thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 128 152 232 304 464 551 608 928 1102 1216 1856 2204 2432 3712 4408 8816 17632 35264 70528