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71402016 = 2537243353
BaseRepresentation
bin1000100000110…
…00001000100000
311222100121011010
410100120020200
5121234331031
611030220520
71524623100
oct420301040
9158317133
1071402016
1137339434
121bab4740
1311a3ca1a
1496a9200
156406246
hex4418220

71402016 has 144 divisors (see below), whose sum is σ = 223733664. Its totient is φ = 19869696.

The previous prime is 71402003. The next prime is 71402027. The reversal of 71402016 is 61020417.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 71401983 and 71402001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202096 + ... + 202448.

It is an arithmetic number, because the mean of its divisors is an integer number (1553706).

Almost surely, 271402016 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 71402016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111866832).

71402016 is an abundant number, since it is smaller than the sum of its proper divisors (152331648).

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

71402016 is a wasteful number, since it uses less digits than its factorization.

71402016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 71402016 is about 8449.9713608982. The cubic root of 71402016 is about 414.8618420449.

The spelling of 71402016 in words is "seventy-one million, four hundred two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 49 56 84 86 96 98 112 129 147 168 172 196 224 258 294 301 336 344 353 392 516 588 602 672 688 706 784 903 1032 1059 1176 1204 1376 1412 1568 1806 2064 2107 2118 2352 2408 2471 2824 3612 4128 4214 4236 4704 4816 4942 5648 6321 7224 7413 8428 8472 9632 9884 11296 12642 14448 14826 15179 16856 16944 17297 19768 25284 28896 29652 30358 33712 33888 34594 39536 45537 50568 51891 59304 60716 67424 69188 79072 91074 101136 103782 106253 118608 121432 138376 182148 202272 207564 212506 237216 242864 276752 318759 364296 415128 425012 485728 553504 637518 728592 743771 830256 850024 1275036 1457184 1487542 1660512 1700048 2231313 2550072 2975084 3400096 4462626 5100144 5950168 8925252 10200288 11900336 17850504 23800672 35701008 71402016