Search a number
-
+
123427332 = 22327489791
BaseRepresentation
bin1110101101101…
…01101000000100
322121020202110200
413112311220010
5223044133312
620125250500
73026054310
oct726655004
9277222420
10123427332
1163742866
1235403a30
131c756c32
141256cb40
15ac810dc
hex75b5a04

123427332 has 36 divisors (see below), whose sum is σ = 356568576. Its totient is φ = 35264880.

The previous prime is 123427321. The next prime is 123427379. The reversal of 123427332 is 233724321.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 123427296 and 123427305.

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 11 ways as a sum of consecutive naturals, for example, 244644 + ... + 245147.

Almost surely, 2123427332 is an apocalyptic number.

123427332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123427332 is an abundant number, since it is smaller than the sum of its proper divisors (233141244).

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

123427332 is a wasteful number, since it uses less digits than its factorization.

123427332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489808 (or 489803 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 123427332 is about 11109.7854164696. The cubic root of 123427332 is about 497.8942534459.

The spelling of 123427332 in words is "one hundred twenty-three million, four hundred twenty-seven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 489791 979582 1469373 1959164 2938746 3428537 4408119 5877492 6857074 8816238 10285611 13714148 17632476 20571222 30856833 41142444 61713666 123427332