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70057064 = 2373112211
BaseRepresentation
bin1000010110011…
…11110001101000
311212211021020002
410023033301220
5120413311224
610541322132
71510322000
oct413176150
9155737202
1070057064
11365aaa00
121b566348
131168b7ac
149439000
15623c9ae
hex42cfc68

70057064 has 96 divisors (see below), whose sum is σ = 169176000. Its totient is φ = 27165600.

The previous prime is 70057061. The next prime is 70057067. The reversal of 70057064 is 46075007.

It is an interprime number because it is at equal distance from previous prime (70057061) and next prime (70057067).

It is not an unprimeable number, because it can be changed into a prime (70057061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331919 + ... + 332129.

It is an arithmetic number, because the mean of its divisors is an integer number (1762250).

Almost surely, 270057064 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 70057064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84588000).

70057064 is an abundant number, since it is smaller than the sum of its proper divisors (99118936).

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

70057064 is a wasteful number, since it uses less digits than its factorization.

70057064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 70057064 is about 8370.0097968879. The cubic root of 70057064 is about 412.2404886227.

The spelling of 70057064 in words is "seventy million, fifty-seven thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 121 154 196 211 242 308 343 392 422 484 539 616 686 844 847 968 1078 1372 1477 1688 1694 2156 2321 2744 2954 3388 3773 4312 4642 5908 5929 6776 7546 9284 10339 11816 11858 15092 16247 18568 20678 23716 25531 30184 32494 41356 41503 47432 51062 64988 72373 82712 83006 102124 113729 129976 144746 166012 178717 204248 227458 289492 332024 357434 454916 578984 714868 796103 909832 1251019 1429736 1592206 2502038 3184412 5004076 6368824 8757133 10008152 17514266 35028532 70057064