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71399680 = 285112461
BaseRepresentation
bin1000100000101…
…11100100000000
311222100110221121
410100113210000
5121234242210
611030202024
71524613222
oct420274400
9158313847
1071399680
1137337700
121bab3314
1311a3b941
1496a8412
1564056da
hex4417900

71399680 has 108 divisors (see below), whose sum is σ = 188393436. Its totient is φ = 25907200.

The previous prime is 71399641. The next prime is 71399683. The reversal of 71399680 is 8699317.

It can be written as a sum of positive squares in 2 ways, for example, as 24285184 + 47114496 = 4928^2 + 6864^2 .

It is not an unprimeable number, because it can be changed into a prime (71399683) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154650 + ... + 155110.

Almost surely, 271399680 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 71399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94196718).

71399680 is an abundant number, since it is smaller than the sum of its proper divisors (116993756).

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

71399680 is a wasteful number, since it uses less digits than its factorization.

71399680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The square root of 71399680 is about 8449.8331344471. The cubic root of 71399680 is about 414.8573177663.

The spelling of 71399680 in words is "seventy-one million, three hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 128 160 176 220 242 256 320 352 440 461 484 605 640 704 880 922 968 1210 1280 1408 1760 1844 1936 2305 2420 2816 3520 3688 3872 4610 4840 5071 7040 7376 7744 9220 9680 10142 14080 14752 15488 18440 19360 20284 25355 29504 30976 36880 38720 40568 50710 55781 59008 73760 77440 81136 101420 111562 118016 147520 154880 162272 202840 223124 278905 295040 324544 405680 446248 557810 590080 649088 811360 892496 1115620 1298176 1622720 1784992 2231240 3245440 3569984 4462480 6490880 7139968 8924960 14279936 17849920 35699840 71399680