Search a number
-
+
91164540 = 223517139643
BaseRepresentation
bin1010110111100…
…00111101111100
320100112122020110
411123300331330
5141314231130
613013550020
72154612555
oct533607574
9210478213
1091164540
11475072a5
1226645310
1315b6c01c
14c17132c
15800bab0
hex56f0f7c

91164540 has 96 divisors (see below), whose sum is σ = 272643840. Its totient is φ = 22680576.

The previous prime is 91164539. The next prime is 91164551. The reversal of 91164540 is 4546119.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 91164498 and 91164507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141459 + ... + 142101.

It is an arithmetic number, because the mean of its divisors is an integer number (2840040).

Almost surely, 291164540 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 91164540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136321920).

91164540 is an abundant number, since it is smaller than the sum of its proper divisors (181479300).

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

91164540 is a wasteful number, since it uses less digits than its factorization.

91164540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 91164540 is about 9548.0123586011. The cubic root of 91164540 is about 450.0650770082.

The spelling of 91164540 in words is "ninety-one million, one hundred sixty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 139 170 204 255 278 340 417 510 556 643 695 834 1020 1286 1390 1668 1929 2085 2363 2572 2780 3215 3858 4170 4726 6430 7089 7716 8340 9452 9645 10931 11815 12860 14178 19290 21862 23630 28356 32793 35445 38580 43724 47260 54655 65586 70890 89377 109310 131172 141780 163965 178754 218620 268131 327930 357508 446885 536262 655860 893770 1072524 1340655 1519409 1787540 2681310 3038818 4558227 5362620 6077636 7597045 9116454 15194090 18232908 22791135 30388180 45582270 91164540