Search a number
-
+
91204960 = 2557112673
BaseRepresentation
bin1010110111110…
…10110101100000
320100121200200111
411123322311200
5141322024320
613014501104
72155141450
oct533726540
9210550614
1091204960
1147534700
1226664794
1315b84542
14c181d60
158018a5a
hex56fad60

91204960 has 144 divisors (see below), whose sum is σ = 271077408. Its totient is φ = 28385280.

The previous prime is 91204937. The next prime is 91204979. The reversal of 91204960 is 6940219.

It is a happy number.

It is a congruent number.

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, 135184 + ... + 135856.

It is an arithmetic number, because the mean of its divisors is an integer number (1882482).

Almost surely, 291204960 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 91204960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135538704).

91204960 is an abundant number, since it is smaller than the sum of its proper divisors (179872448).

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

91204960 is a wasteful number, since it uses less digits than its factorization.

91204960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 91204960 is about 9550.1287949430. The cubic root of 91204960 is about 450.1315829197.

The spelling of 91204960 in words is "ninety-one million, two hundred four thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 121 140 154 160 176 220 224 242 280 308 352 385 440 484 560 605 616 673 770 847 880 968 1120 1210 1232 1346 1540 1694 1760 1936 2420 2464 2692 3080 3365 3388 3872 4235 4711 4840 5384 6160 6730 6776 7403 8470 9422 9680 10768 12320 13460 13552 14806 16940 18844 19360 21536 23555 26920 27104 29612 33880 37015 37688 47110 51821 53840 59224 67760 74030 75376 81433 94220 103642 107680 118448 135520 148060 150752 162866 188440 207284 236896 259105 296120 325732 376880 407165 414568 518210 570031 592240 651464 753760 814330 829136 1036420 1140062 1184480 1302928 1628660 1658272 2072840 2280124 2605856 2850155 3257320 4145680 4560248 5700310 6514640 8291360 9120496 11400620 13029280 18240992 22801240 45602480 91204960