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132123472 = 24137972
BaseRepresentation
bin1111110000000…
…00101101010000
3100012121120022221
413320000231100
5232310422342
621035510424
73163013425
oct770005520
9305546287
10132123472
1168642358
12382b8414
13214b0190
1413793d4c
15b8eca67
hex7e00b50

132123472 has 30 divisors (see below), whose sum is σ = 276027038. Its totient is φ = 60903552.

The previous prime is 132123451. The next prime is 132123487. The reversal of 132123472 is 274321231.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4343056 + 127780416 = 2084^2 + 11304^2 .

It is a super-2 number, since 2×1321234722 = 34913223706669568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 165378 + ... + 166174.

Almost surely, 2132123472 is an apocalyptic number.

It is an amenable number.

132123472 is an abundant number, since it is smaller than the sum of its proper divisors (143903566).

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

132123472 is an frugal number, since it uses more digits than its factorization.

132123472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 812 counting only the distinct ones).

The product of its digits is 2016, while the sum is 25.

The square root of 132123472 is about 11494.4974661792. The cubic root of 132123472 is about 509.3230439034.

The spelling of 132123472 in words is "one hundred thirty-two million, one hundred twenty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 797 1594 3188 6376 10361 12752 20722 41444 82888 165776 635209 1270418 2540836 5081672 8257717 10163344 16515434 33030868 66061736 132123472