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124431132 = 223713910657
BaseRepresentation
bin1110110101010…
…10101100011100
322200010202102110
413122222230130
5223323244012
620202554020
73040434660
oct732525434
9280122373
10124431132
1164268a51
1235808910
131ca18ab7
14127508a0
15adcd73c
hex76aab1c

124431132 has 48 divisors (see below), whose sum is σ = 334234880. Its totient is φ = 35292672.

The previous prime is 124431119. The next prime is 124431161. The reversal of 124431132 is 231134421.

It is a super-2 number, since 2×1244311322 = 30966213221602848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 = 124431099 and 124431108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6348 + ... + 17004.

Almost surely, 2124431132 is an apocalyptic number.

124431132 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 124431132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167117440).

124431132 is an abundant number, since it is smaller than the sum of its proper divisors (209803748).

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

124431132 is a wasteful number, since it uses less digits than its factorization.

124431132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10810 (or 10808 counting only the distinct ones).

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

The square root of 124431132 is about 11154.8703264538. The cubic root of 124431132 is about 499.2403557992.

Adding to 124431132 its reverse (231134421), we get a palindrome (355565553).

The spelling of 124431132 in words is "one hundred twenty-four million, four hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 139 278 417 556 834 973 1668 1946 2919 3892 5838 10657 11676 21314 31971 42628 63942 74599 127884 149198 223797 298396 447594 895188 1481323 2962646 4443969 5925292 8887938 10369261 17775876 20738522 31107783 41477044 62215566 124431132