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71240688 = 2433374457
BaseRepresentation
bin1000011111100…
…00101111110000
311222001101212000
410033300233300
5121214200223
611022534000
71523351541
oct417605760
9158041760
1071240688
1137239202
121ba37300
13119b446c
1496664c8
1563c3543
hex43f0bf0

71240688 has 80 divisors (see below), whose sum is σ = 210060960. Its totient is φ = 23099904.

The previous prime is 71240669. The next prime is 71240711. The reversal of 71240688 is 88604217.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13756 + ... + 18212.

It is an arithmetic number, because the mean of its divisors is an integer number (2625762).

Almost surely, 271240688 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 71240688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105030480).

71240688 is an abundant number, since it is smaller than the sum of its proper divisors (138820272).

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

71240688 is a wasteful number, since it uses less digits than its factorization.

71240688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4511 (or 4499 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 71240688 is about 8440.4198947683. The cubic root of 71240688 is about 414.5491557212.

The spelling of 71240688 in words is "seventy-one million, two hundred forty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 144 148 216 222 296 333 432 444 592 666 888 999 1332 1776 1998 2664 3996 4457 5328 7992 8914 13371 15984 17828 26742 35656 40113 53484 71312 80226 106968 120339 160452 164909 213936 240678 320904 329818 481356 494727 641808 659636 962712 989454 1319272 1484181 1925424 1978908 2638544 2968362 3957816 4452543 5936724 7915632 8905086 11873448 17810172 23746896 35620344 71240688