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132915260 = 225192571361
BaseRepresentation
bin1111110110000…
…10000000111100
3100021002210110102
413323002000330
5233011242020
621104500232
73202522022
oct773020074
9307083412
10132915260
1169033225
123861a678
13216c96aa
141391c712
15ba07475
hex7ec203c

132915260 has 48 divisors (see below), whose sum is σ = 295172640. Its totient is φ = 50135040.

The previous prime is 132915257. The next prime is 132915269. The reversal of 132915260 is 62519231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132915269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96980 + ... + 98340.

It is an arithmetic number, because the mean of its divisors is an integer number (6149430).

Almost surely, 2132915260 is an apocalyptic number.

132915260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132915260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147586320).

132915260 is an abundant number, since it is smaller than the sum of its proper divisors (162257380).

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

132915260 is a wasteful number, since it uses less digits than its factorization.

132915260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 132915260 is about 11528.8880643365. Note that the first 3 decimals coincide. The cubic root of 132915260 is about 510.3384399751.

The spelling of 132915260 in words is "one hundred thirty-two million, nine hundred fifteen thousand, two hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 257 380 514 1028 1285 1361 2570 2722 4883 5140 5444 6805 9766 13610 19532 24415 25859 27220 48830 51718 97660 103436 129295 258590 349777 517180 699554 1399108 1748885 3497770 6645763 6995540 13291526 26583052 33228815 66457630 132915260