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123993432 = 23321722131
BaseRepresentation
bin1110110001111…
…11110101011000
322122022112000100
413120333311120
5223220242212
620145335400
73033632613
oct730776530
9278275010
10123993432
1163a9a112
1235637560
131c8c47c4
141267917a
15ad43bdc
hex763fd58

123993432 has 24 divisors (see below), whose sum is σ = 335815740. Its totient is φ = 41331120.

The previous prime is 123993407. The next prime is 123993433. The reversal of 123993432 is 234399321.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123993433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 860994 + ... + 861137.

Almost surely, 2123993432 is an apocalyptic number.

123993432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123993432 is an abundant number, since it is smaller than the sum of its proper divisors (211822308).

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

123993432 is a wasteful number, since it uses less digits than its factorization.

123993432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722143 (or 1722136 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 123993432 is about 11135.2338098488. The cubic root of 123993432 is about 498.6542907157.

The spelling of 123993432 in words is "one hundred twenty-three million, nine hundred ninety-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1722131 3444262 5166393 6888524 10332786 13777048 15499179 20665572 30998358 41331144 61996716 123993432