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132120480 = 2535275251
BaseRepresentation
bin1111101111111…
…11111110100000
3100012121102020010
413313333332200
5232310323410
621035444520
73163001622
oct767777640
9305542203
10132120480
1168640088
12382b6740
13214ab9cb
1413792c12
15b8ebc20
hex7dfffa0

132120480 has 48 divisors (see below), whose sum is σ = 416181024. Its totient is φ = 35232000.

The previous prime is 132120427. The next prime is 132120511. The reversal of 132120480 is 84021231.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137146 + ... + 138105.

It is an arithmetic number, because the mean of its divisors is an integer number (8670438).

Almost surely, 2132120480 is an apocalyptic number.

132120480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132120480 is an abundant number, since it is smaller than the sum of its proper divisors (284060544).

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

132120480 is a wasteful number, since it uses less digits than its factorization.

132120480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275269 (or 275261 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 132120480 is about 11494.3673162119. The cubic root of 132120480 is about 509.3191992520.

The spelling of 132120480 in words is "one hundred thirty-two million, one hundred twenty thousand, four hundred eighty".

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 275251 550502 825753 1101004 1376255 1651506 2202008 2752510 3303012 4128765 4404016 5505020 6606024 8257530 8808032 11010040 13212048 16515060 22020080 26424096 33030120 44040160 66060240 132120480