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132465120 = 2535275969
BaseRepresentation
bin1111110010101…
…00000111100000
3100020020220222120
413321110013200
5232402340440
621051104240
73165635454
oct771240740
9306226876
10132465120
1168856007
1238442080
132159c838
1413842664
15b968dd0
hex7e541e0

132465120 has 48 divisors (see below), whose sum is σ = 417266640. Its totient is φ = 35323904.

The previous prime is 132465103. The next prime is 132465133. The reversal of 132465120 is 21564231.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1324651202 = 35094016033228800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 137505 + ... + 138464.

It is an arithmetic number, because the mean of its divisors is an integer number (8693055).

Almost surely, 2132465120 is an apocalyptic number.

132465120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132465120 is an abundant number, since it is smaller than the sum of its proper divisors (284801520).

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

132465120 is a wasteful number, since it uses less digits than its factorization.

132465120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275987 (or 275979 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 132465120 is about 11509.3492431154. The cubic root of 132465120 is about 509.7616725741.

The spelling of 132465120 in words is "one hundred thirty-two million, four hundred sixty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 275969 551938 827907 1103876 1379845 1655814 2207752 2759690 3311628 4139535 4415504 5519380 6623256 8279070 8831008 11038760 13246512 16558140 22077520 26493024 33116280 44155040 66232560 132465120