Search a number
-
+
91689960 = 233523139239
BaseRepresentation
bin1010111011100…
…01001111101000
320101112022222110
411131301033220
5141433034320
613033122320
72162231445
oct535611750
9211468873
1091689960
114783602a
12268593a0
1315cc421b
14c26a9cc
1580b25e0
hex57713e8

91689960 has 128 divisors (see below), whose sum is σ = 290304000. Its totient is φ = 23122176.

The previous prime is 91689931. The next prime is 91689977. The reversal of 91689960 is 6998619.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383521 + ... + 383759.

It is an arithmetic number, because the mean of its divisors is an integer number (2268000).

Almost surely, 291689960 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 91689960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152000).

91689960 is an abundant number, since it is smaller than the sum of its proper divisors (198614040).

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

91689960 is a wasteful number, since it uses less digits than its factorization.

91689960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 48.

The square root of 91689960 is about 9575.4874549550. The cubic root of 91689960 is about 450.9280600032.

The spelling of 91689960 in words is "ninety-one million, six hundred eighty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 139 184 230 239 276 278 345 417 460 478 552 556 690 695 717 834 920 956 1112 1195 1380 1390 1434 1668 1912 2085 2390 2760 2780 2868 3197 3336 3585 4170 4780 5497 5560 5736 6394 7170 8340 9560 9591 10994 12788 14340 15985 16491 16680 19182 21988 25576 27485 28680 31970 32982 33221 38364 43976 47955 54970 63940 65964 66442 76728 82455 95910 99663 109940 127880 131928 132884 164910 166105 191820 199326 219880 265768 329820 332210 383640 398652 498315 659640 664420 764083 797304 996630 1328840 1528166 1993260 2292249 3056332 3820415 3986520 4584498 6112664 7640830 9168996 11461245 15281660 18337992 22922490 30563320 45844980 91689960