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132451680 = 2535275941
BaseRepresentation
bin1111110010100…
…00110101100000
3100020020020112210
413321100311200
5232401423210
621050522120
73165551334
oct771206540
9306206483
10132451680
11688469a9
1238436340
132159669a
141383b7c4
15b964e20
hex7e50d60

132451680 has 48 divisors (see below), whose sum is σ = 417224304. Its totient is φ = 35320320.

The previous prime is 132451667. The next prime is 132451691. The reversal of 132451680 is 86154231.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 137491 + ... + 138450.

It is an arithmetic number, because the mean of its divisors is an integer number (8692173).

Almost surely, 2132451680 is an apocalyptic number.

132451680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132451680 is an abundant number, since it is smaller than the sum of its proper divisors (284772624).

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

132451680 is a wasteful number, since it uses less digits than its factorization.

132451680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275959 (or 275951 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 132451680 is about 11508.7653551543. The cubic root of 132451680 is about 509.7444317372.

The spelling of 132451680 in words is "one hundred thirty-two million, four hundred fifty-one thousand, six 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 275941 551882 827823 1103764 1379705 1655646 2207528 2759410 3311292 4139115 4415056 5518820 6622584 8278230 8830112 11037640 13245168 16556460 22075280 26490336 33112920 44150560 66225840 132451680