Search a number
-
+
91314036 = 223211293787
BaseRepresentation
bin1010111000101…
…01011101110100
320100211020022100
411130111131310
5141334022121
613021102100
72156104452
oct534253564
9210736270
1091314036
11475a9650
12266b7930
1315bc2098
14c1ad9d2
15803b026
hex5715774

91314036 has 72 divisors (see below), whose sum is σ = 252985824. Its totient is φ = 27541440.

The previous prime is 91314029. The next prime is 91314037. The reversal of 91314036 is 63041319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91314037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115635 + ... + 116421.

It is an arithmetic number, because the mean of its divisors is an integer number (3513692).

Almost surely, 291314036 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 91314036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126492912).

91314036 is an abundant number, since it is smaller than the sum of its proper divisors (161671788).

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

91314036 is a wasteful number, since it uses less digits than its factorization.

91314036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 91314036 is about 9555.8377968653. The cubic root of 91314036 is about 450.3109554469.

The spelling of 91314036 in words is "ninety-one million, three hundred fourteen thousand, thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 293 396 586 787 879 1172 1574 1758 2361 2637 3148 3223 3516 4722 5274 6446 7083 8657 9444 9669 10548 12892 14166 17314 19338 25971 28332 29007 34628 38676 51942 58014 77913 103884 116028 155826 230591 311652 461182 691773 922364 1383546 2075319 2536501 2767092 4150638 5073002 7609503 8301276 10146004 15219006 22828509 30438012 45657018 91314036