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88132260 = 22351997797
BaseRepresentation
bin1010100000011…
…00101010100100
320010211120201210
411100030222210
5140030213020
612424551420
72120053236
oct520145244
9203746653
1088132260
1145826087
1225622570
1315349a88
14b9c2256
157b0d3e0
hex540caa4

88132260 has 96 divisors (see below), whose sum is σ = 262765440. Its totient is φ = 22007808.

The previous prime is 88132249. The next prime is 88132273. The reversal of 88132260 is 6223188.

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

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, 110182 + ... + 110978.

It is an arithmetic number, because the mean of its divisors is an integer number (2737140).

Almost surely, 288132260 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 88132260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131382720).

88132260 is an abundant number, since it is smaller than the sum of its proper divisors (174633180).

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

88132260 is a wasteful number, since it uses less digits than its factorization.

88132260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 88132260 is about 9387.8783545591. The cubic root of 88132260 is about 445.0187426352.

The spelling of 88132260 in words is "eighty-eight million, one hundred thirty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 97 114 190 194 228 285 291 380 388 485 570 582 797 970 1140 1164 1455 1594 1843 1940 2391 2910 3188 3686 3985 4782 5529 5820 7372 7970 9215 9564 11058 11955 15143 15940 18430 22116 23910 27645 30286 36860 45429 47820 55290 60572 75715 77309 90858 110580 151430 154618 181716 227145 231927 302860 309236 386545 454290 463854 773090 908580 927708 1159635 1468871 1546180 2319270 2937742 4406613 4638540 5875484 7344355 8813226 14688710 17626452 22033065 29377420 44066130 88132260