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71921016 = 23321767877
BaseRepresentation
bin1000100100101…
…10110101111000
312000022222002100
410102112311320
5121402433031
611045303400
71532214156
oct422266570
9160288070
1071921016
1137663362
1220104b60
1311b9201b
1497a23d6
1564a9de6
hex4496d78

71921016 has 96 divisors (see below), whose sum is σ = 209561040. Its totient is φ = 22201344.

The previous prime is 71920993. The next prime is 71921039. The reversal of 71921016 is 61012917.

It is an interprime number because it is at equal distance from previous prime (71920993) and next prime (71921039).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81570 + ... + 82446.

Almost surely, 271921016 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 71921016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104780520).

71921016 is an abundant number, since it is smaller than the sum of its proper divisors (137640024).

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

71921016 is a wasteful number, since it uses less digits than its factorization.

71921016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 71921016 is about 8480.6259202962. The cubic root of 71921016 is about 415.8645854864.

The spelling of 71921016 in words is "seventy-one million, nine hundred twenty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 67 68 72 102 134 136 153 201 204 268 306 402 408 536 603 612 804 877 1139 1206 1224 1608 1754 2278 2412 2631 3417 3508 4556 4824 5262 6834 7016 7893 9112 10251 10524 13668 14909 15786 20502 21048 27336 29818 31572 41004 44727 58759 59636 63144 82008 89454 117518 119272 134181 176277 178908 235036 268362 352554 357816 470072 528831 536724 705108 998903 1057662 1073448 1410216 1997806 2115324 2996709 3995612 4230648 5993418 7991224 8990127 11986836 17980254 23973672 35960508 71921016