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70130944 = 281321621
BaseRepresentation
bin1000010111000…
…01110100000000
311212222000120101
410023201310000
5120423142234
610543052144
71511050252
oct413416400
9155860511
1070130944
1136650464
121b5a1054
13116b6300
149457cd2
156254814
hex42e1d00

70130944 has 54 divisors (see below), whose sum is σ = 151678086. Its totient is φ = 32348160.

The previous prime is 70130941. The next prime is 70130953. The reversal of 70130944 is 44903107.

It can be written as a sum of positive squares in 3 ways, for example, as 1440000 + 68690944 = 1200^2 + 8288^2 .

It is a super-2 number, since 2×701309442 = 9836698612662272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70130941) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42454 + ... + 44074.

Almost surely, 270130944 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 70130944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75839043).

70130944 is an abundant number, since it is smaller than the sum of its proper divisors (81547142).

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

70130944 is a wasteful number, since it uses less digits than its factorization.

70130944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 70130944 is about 8374.4220099061. The cubic root of 70130944 is about 412.3853497103.

The spelling of 70130944 in words is "seventy million, one hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 832 1352 1621 1664 2704 3242 3328 5408 6484 10816 12968 21073 21632 25936 42146 43264 51872 84292 103744 168584 207488 273949 337168 414976 547898 674336 1095796 1348672 2191592 2697344 4383184 5394688 8766368 17532736 35065472 70130944