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71309056 = 287133061
BaseRepresentation
bin1000100000000…
…01011100000000
311222011212122011
410100001130000
5121223342211
611024222304
71524055060
oct420013400
9158155564
1071309056
1137285605
121ba6a994
1311a09610
1496833a0
1563d8921
hex4401700

71309056 has 72 divisors (see below), whose sum is σ = 175244384. Its totient is φ = 28200960.

The previous prime is 71309053. The next prime is 71309081. The reversal of 71309056 is 65090317.

It is a super-2 number, since 2×713090562 = 10169962935222272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71309053) 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, 21766 + ... + 24826.

Almost surely, 271309056 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 71309056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87622192).

71309056 is an abundant number, since it is smaller than the sum of its proper divisors (103935328).

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

71309056 is a wasteful number, since it uses less digits than its factorization.

71309056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097 (or 3083 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 31.

The square root of 71309056 is about 8444.4689590287. The cubic root of 71309056 is about 414.6817243228.

The spelling of 71309056 in words is "seventy-one million, three hundred nine thousand, fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 728 832 896 1456 1664 1792 2912 3061 3328 5824 6122 11648 12244 21427 23296 24488 39793 42854 48976 79586 85708 97952 159172 171416 195904 278551 318344 342832 391808 557102 636688 685664 783616 1114204 1273376 1371328 2228408 2546752 2742656 4456816 5093504 5485312 8913632 10187008 17827264 35654528 71309056