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71245840 = 24543139149
BaseRepresentation
bin1000011111100…
…10000000010000
311222001122220211
410033302000100
5121214331330
611023013504
71523402551
oct417620020
9158048824
1071245840
1137242066
121ba3a294
13119b6903
149668328
1563c4d2a
hex43f2010

71245840 has 80 divisors (see below), whose sum is σ = 171864000. Its totient is φ = 27449856.

The previous prime is 71245817. The next prime is 71245841. The reversal of 71245840 is 4854217.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (71245841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478086 + ... + 478234.

It is an arithmetic number, because the mean of its divisors is an integer number (2148300).

Almost surely, 271245840 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 71245840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85932000).

71245840 is an abundant number, since it is smaller than the sum of its proper divisors (100618160).

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

71245840 is a wasteful number, since it uses less digits than its factorization.

71245840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 71245840 is about 8440.7250873370. The cubic root of 71245840 is about 414.5591486331.

The spelling of 71245840 in words is "seventy-one million, two hundred forty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 139 149 172 215 278 298 344 430 556 596 688 695 745 860 1112 1192 1390 1490 1720 2224 2384 2780 2980 3440 5560 5960 5977 6407 11120 11920 11954 12814 20711 23908 25628 29885 32035 41422 47816 51256 59770 64070 82844 95632 102512 103555 119540 128140 165688 207110 239080 256280 331376 414220 478160 512560 828440 890573 1656880 1781146 3562292 4452865 7124584 8905730 14249168 17811460 35622920 71245840