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124314132 = 223174189167
BaseRepresentation
bin1110110100011…
…10001000010100
322122220210221010
413122032020110
5223311023012
620200252220
73036436605
oct732161024
9278823833
10124314132
1164199058
1235771070
131c9a7777
141271ddac
15ada8c3c
hex768e214

124314132 has 96 divisors (see below), whose sum is σ = 320060160. Its totient is φ = 37396480.

The previous prime is 124314101. The next prime is 124314139. The reversal of 124314132 is 231413421.

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 = 124314099 and 124314108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124314139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 744313 + ... + 744479.

It is an arithmetic number, because the mean of its divisors is an integer number (3333960).

Almost surely, 2124314132 is an apocalyptic number.

124314132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124314132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160030080).

124314132 is an abundant number, since it is smaller than the sum of its proper divisors (195746028).

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

124314132 is a wasteful number, since it uses less digits than its factorization.

124314132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 319 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 124314132 is about 11149.6247470487. The cubic root of 124314132 is about 499.0838316297.

Adding to 124314132 its reverse (231413421), we get a palindrome (355727553).

The spelling of 124314132 in words is "one hundred twenty-four million, three hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 82 89 102 123 164 167 178 204 246 267 334 356 492 501 534 668 697 1002 1068 1394 1513 2004 2091 2788 2839 3026 3649 4182 4539 5678 6052 6847 7298 8364 8517 9078 10947 11356 13694 14596 14863 17034 18156 20541 21894 27388 29726 34068 41082 43788 44589 59452 62033 82164 89178 116399 124066 178356 186099 232798 248132 252671 349197 372198 465596 505342 609383 698394 744396 758013 1010684 1218766 1396788 1516026 1828149 2437532 3032052 3656298 7312596 10359511 20719022 31078533 41438044 62157066 124314132