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71981364 = 223713292273
BaseRepresentation
bin1000100101001…
…01100100110100
312000110000212110
410102211210310
5121411400424
611050451020
71532555130
oct422454464
9160400773
1071981364
11376a4734
1220133a70
1311bb3630
1497ba3c0
1564bcc29
hex44a5934

71981364 has 96 divisors (see below), whose sum is σ = 213937920. Its totient is φ = 18321408.

The previous prime is 71981353. The next prime is 71981407. The reversal of 71981364 is 46318917.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30532 + ... + 32804.

It is an arithmetic number, because the mean of its divisors is an integer number (2228520).

Almost surely, 271981364 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 71981364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106968960).

71981364 is an abundant number, since it is smaller than the sum of its proper divisors (141956556).

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

71981364 is a wasteful number, since it uses less digits than its factorization.

71981364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2327 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 71981364 is about 8484.1831663396. The cubic root of 71981364 is about 415.9808685112.

The spelling of 71981364 in words is "seventy-one million, nine hundred eighty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 29 39 42 52 58 78 84 87 91 116 156 174 182 203 273 348 364 377 406 546 609 754 812 1092 1131 1218 1508 2262 2273 2436 2639 4524 4546 5278 6819 7917 9092 10556 13638 15834 15911 27276 29549 31668 31822 47733 59098 63644 65917 88647 95466 118196 131834 177294 190932 197751 206843 263668 354588 395502 413686 461419 620529 791004 827372 856921 922838 1241058 1384257 1713842 1845676 2482116 2570763 2768514 3427684 5141526 5537028 5998447 10283052 11996894 17995341 23993788 35990682 71981364