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132124104 = 23327262151
BaseRepresentation
bin1111110000000…
…00110111001000
3100012121121012100
413320000313020
5232310432404
621035513400
73163015320
oct770006710
9305547170
10132124104
1168642882
12382b8860
13214b0558
1413794280
15b8ecd39
hex7e00dc8

132124104 has 48 divisors (see below), whose sum is σ = 408957120. Its totient is φ = 37749600.

The previous prime is 132124063. The next prime is 132124129. The reversal of 132124104 is 401421231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130572 + ... + 131579.

It is an arithmetic number, because the mean of its divisors is an integer number (8519940).

Almost surely, 2132124104 is an apocalyptic number.

132124104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132124104 is an abundant number, since it is smaller than the sum of its proper divisors (276833016).

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

132124104 is a wasteful number, since it uses less digits than its factorization.

132124104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262170 (or 262163 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 132124104 is about 11494.5249575613. The cubic root of 132124104 is about 509.3238560015.

Adding to 132124104 its reverse (401421231), we get a palindrome (533545335).

It can be divided in two parts, 1321 and 24104, that added together give a triangular number (25425 = T225).

The spelling of 132124104 in words is "one hundred thirty-two million, one hundred twenty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 262151 524302 786453 1048604 1572906 1835057 2097208 2359359 3145812 3670114 4718718 5505171 6291624 7340228 9437436 11010342 14680456 16515513 18874872 22020684 33031026 44041368 66062052 132124104