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132920424 = 233271320287
BaseRepresentation
bin1111110110000…
…11010001101000
3100021010001112200
413323003101220
5233011423144
621104540200
73202543050
oct773032150
9307101480
10132920424
116903709a
1238621660
13216cbb50
1413920560
15ba08c69
hex7ec3468

132920424 has 96 divisors (see below), whose sum is σ = 443089920. Its totient is φ = 35054208.

The previous prime is 132920419. The next prime is 132920441. The reversal of 132920424 is 424029231.

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, 3592 + ... + 16695.

It is an arithmetic number, because the mean of its divisors is an integer number (4615520).

Almost surely, 2132920424 is an apocalyptic number.

132920424 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 132920424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221544960).

132920424 is an abundant number, since it is smaller than the sum of its proper divisors (310169496).

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

132920424 is a wasteful number, since it uses less digits than its factorization.

132920424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20319 (or 20312 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 132920424 is about 11529.1120213137. The cubic root of 132920424 is about 510.3450490822.

Adding to 132920424 its reverse (424029231), we get a palindrome (556949655).

The spelling of 132920424 in words is "one hundred thirty-two million, nine hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 20287 40574 60861 81148 121722 142009 162296 182583 243444 263731 284018 365166 426027 486888 527462 568036 730332 791193 852054 1054924 1136072 1278081 1460664 1582386 1704108 1846117 2109848 2373579 2556162 3164772 3408216 3692234 4747158 5112324 5538351 6329544 7384468 9494316 10224648 11076702 14768936 16615053 18988632 22153404 33230106 44306808 66460212 132920424