Search a number
-
+
132920520 = 23357115601
BaseRepresentation
bin1111110110000…
…11010011001000
3100021010001200020
413323003103020
5233011424040
621104540440
73202543245
oct773032310
9307101606
10132920520
1169037177
1238621720
13216cbbc5
14139205cc
15ba08cd0
hex7ec34c8

132920520 has 64 divisors (see below), whose sum is σ = 404403840. Its totient is φ = 34944000.

The previous prime is 132920507. The next prime is 132920549. The reversal of 132920520 is 25029231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 720 + ... + 16320.

It is an arithmetic number, because the mean of its divisors is an integer number (6318810).

Almost surely, 2132920520 is an apocalyptic number.

132920520 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 132920520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202201920).

132920520 is an abundant number, since it is smaller than the sum of its proper divisors (271483320).

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

132920520 is a wasteful number, since it uses less digits than its factorization.

132920520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15686 (or 15682 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 132920520 is about 11529.1161846865. The cubic root of 132920520 is about 510.3451719455.

132920520 divided by its sum of digits (24) gives a palindrome (5538355).

Adding to 132920520 its reverse (25029231), we get a palindrome (157949751).

The spelling of 132920520 in words is "one hundred thirty-two million, nine hundred twenty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1704 2130 2840 4260 8520 15601 31202 46803 62404 78005 93606 124808 156010 187212 234015 312020 374424 468030 624040 936060 1107671 1872120 2215342 3323013 4430684 5538355 6646026 8861368 11076710 13292052 16615065 22153420 26584104 33230130 44306840 66460260 132920520