Search a number
-
+
132796480 = 2652318043
BaseRepresentation
bin1111110101001…
…01000001000000
3100020212202112011
413322211001000
5232443441410
621102142304
73201515515
oct772450100
9306782464
10132796480
1168a61a63
1238581994
13216875cb
14138cb30c
15b9d218a
hex7ea5040

132796480 has 56 divisors (see below), whose sum is σ = 329988672. Its totient is φ = 50806272.

The previous prime is 132796463. The next prime is 132796487. The reversal of 132796480 is 84697231.

132796480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (132796487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1662 + ... + 16381.

Almost surely, 2132796480 is an apocalyptic number.

132796480 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 132796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164994336).

132796480 is an abundant number, since it is smaller than the sum of its proper divisors (197192192).

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

132796480 is a wasteful number, since it uses less digits than its factorization.

132796480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18083 (or 18073 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 132796480 is about 11523.7355054687. The cubic root of 132796480 is about 510.1863729965.

The spelling of 132796480 in words is "one hundred thirty-two million, seven hundred ninety-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 3680 7360 18043 36086 72172 90215 144344 180430 288688 360860 414989 577376 721720 829978 1154752 1443440 1659956 2074945 2886880 3319912 4149890 5773760 6639824 8299780 13279648 16599560 26559296 33199120 66398240 132796480