Search a number
-
+
91289640 = 233513139421
BaseRepresentation
bin1010111000011…
…11100000101000
320100202222211210
411130033200220
5141332232030
613020353120
72155643361
oct534174050
9210688753
1091289640
1147592292
12266a57a0
1315bb3c50
14c1a4b68
158033bb0
hex570f828

91289640 has 128 divisors (see below), whose sum is σ = 297763200. Its totient is φ = 22256640.

The previous prime is 91289591. The next prime is 91289641. The reversal of 91289640 is 4698219.

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

It is not an unprimeable number, because it can be changed into a prime (91289641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216630 + ... + 217050.

It is an arithmetic number, because the mean of its divisors is an integer number (2326275).

Almost surely, 291289640 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 91289640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148881600).

91289640 is an abundant number, since it is smaller than the sum of its proper divisors (206473560).

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

91289640 is a wasteful number, since it uses less digits than its factorization.

91289640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 91289640 is about 9554.5612144148. The cubic root of 91289640 is about 450.2708492922.

The spelling of 91289640 in words is "ninety-one million, two hundred eighty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 139 156 195 260 278 312 390 417 421 520 556 695 780 834 842 1112 1263 1390 1560 1668 1684 1807 2085 2105 2526 2780 3336 3368 3614 4170 4210 5052 5421 5473 5560 6315 7228 8340 8420 9035 10104 10842 10946 12630 14456 16419 16680 16840 18070 21684 21892 25260 27105 27365 32838 36140 43368 43784 50520 54210 54730 58519 65676 72280 82095 108420 109460 117038 131352 164190 175557 216840 218920 234076 292595 328380 351114 468152 585190 656760 702228 760747 877785 1170380 1404456 1521494 1755570 2282241 2340760 3042988 3511140 3803735 4564482 6085976 7022280 7607470 9128964 11411205 15214940 18257928 22822410 30429880 45644820 91289640