Search a number
-
+
132925464 = 233272311467
BaseRepresentation
bin1111110110001…
…00100000011000
3100021010022110100
413323010200120
5233012103324
621105015400
73202563540
oct773044030
9307108410
10132925464
116903a961
1238624560
1321701229
1413922320
15ba0a4c9
hex7ec4818

132925464 has 96 divisors (see below), whose sum is σ = 429361920. Its totient is φ = 36324288.

The previous prime is 132925459. The next prime is 132925477. The reversal of 132925464 is 464529231.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5859 + ... + 17325.

It is an arithmetic number, because the mean of its divisors is an integer number (4472520).

Almost surely, 2132925464 is an apocalyptic number.

132925464 is a gapful number since it is divisible by the number (14) 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 132925464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214680960).

132925464 is an abundant number, since it is smaller than the sum of its proper divisors (296436456).

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

132925464 is a wasteful number, since it uses less digits than its factorization.

132925464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11509 (or 11502 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 132925464 is about 11529.3305963529. The cubic root of 132925464 is about 510.3514993238.

The spelling of 132925464 in words is "one hundred thirty-two million, nine hundred twenty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1932 2898 3864 5796 11467 11592 22934 34401 45868 68802 80269 91736 103203 137604 160538 206406 240807 263741 275208 321076 412812 481614 527482 642152 722421 791223 825624 963228 1054964 1444842 1582446 1846187 1926456 2109928 2373669 2889684 3164892 3692374 4747338 5538561 5779368 6329784 7384748 9494676 11077122 14769496 16615683 18989352 22154244 33231366 44308488 66462732 132925464