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71988696 = 23331331827
BaseRepresentation
bin1000100101001…
…11010111011000
312000110101221000
410102213113120
5121412114241
611050545000
71532615403
oct422472730
9160411830
1071988696
11376aa19a
1220138160
1311bb6a80
1497bcd3a
1564beeb6
hex44a75d8

71988696 has 128 divisors (see below), whose sum is σ = 222566400. Its totient is φ = 21409920.

The previous prime is 71988677. The next prime is 71988703. The reversal of 71988696 is 69688917.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 86635 + ... + 87461.

It is an arithmetic number, because the mean of its divisors is an integer number (1738800).

Almost surely, 271988696 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 71988696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111283200).

71988696 is an abundant number, since it is smaller than the sum of its proper divisors (150577704).

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

71988696 is a wasteful number, since it uses less digits than its factorization.

71988696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 876 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 71988696 is about 8484.6152535044. The cubic root of 71988696 is about 415.9949919269.

The spelling of 71988696 in words is "seventy-one million, nine hundred eighty-eight thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 31 36 39 52 54 62 72 78 93 104 108 117 124 156 186 216 234 248 279 312 351 372 403 468 558 702 744 806 827 837 936 1116 1209 1404 1612 1654 1674 2232 2418 2481 2808 3224 3308 3348 3627 4836 4962 6616 6696 7254 7443 9672 9924 10751 10881 14508 14886 19848 21502 21762 22329 25637 29016 29772 32253 43004 43524 44658 51274 59544 64506 76911 86008 87048 89316 96759 102548 129012 153822 178632 193518 205096 230733 258024 290277 307644 333281 387036 461466 580554 615288 666562 692199 774072 922932 999843 1161108 1333124 1384398 1845864 1999686 2322216 2666248 2768796 2999529 3999372 5537592 5999058 7998744 8998587 11998116 17997174 23996232 35994348 71988696