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71402688 = 263375903
BaseRepresentation
bin1000100000110…
…00010011000000
311222100122002000
410100120103000
5121234341223
611030224000
71524625050
oct420302300
9158318060
1071402688
1137339995
121bab5000
1311a40116
1496a9560
156406543
hex44184c0

71402688 has 112 divisors (see below), whose sum is σ = 239938560. Its totient is φ = 20397312.

The previous prime is 71402663. The next prime is 71402699. The reversal of 71402688 is 88620417.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9145 + ... + 15047.

Almost surely, 271402688 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 71402688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119969280).

71402688 is an abundant number, since it is smaller than the sum of its proper divisors (168535872).

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

71402688 is a wasteful number, since it uses less digits than its factorization.

71402688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5931 (or 5915 counting only the distinct ones).

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

The square root of 71402688 is about 8450.0111242530. The cubic root of 71402688 is about 414.8631435314.

The spelling of 71402688 in words is "seventy-one million, four hundred two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 5903 6048 11806 12096 17709 23612 35418 41321 47224 53127 70836 82642 94448 106254 123963 141672 159381 165284 188896 212508 247926 283344 318762 330568 371889 377792 425016 495852 566688 637524 661136 743778 850032 991704 1115667 1133376 1275048 1322272 1487556 1700064 1983408 2231334 2550096 2644544 2975112 3400128 3966816 4462668 5100192 5950224 7933632 8925336 10200384 11900448 17850672 23800896 35701344 71402688