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124839132 = 223113113041
BaseRepresentation
bin1110111000011…
…10010011011100
322200220111002120
413130032103130
5223424323012
620215422540
73044054325
oct734162334
9280814076
10124839132
1164517540
1235984a50
131cb2c712
141281944c
15ae5e58c
hex770e4dc

124839132 has 48 divisors (see below), whose sum is σ = 318898944. Its totient is φ = 37696000.

The previous prime is 124839089. The next prime is 124839133. The reversal of 124839132 is 231938421.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 124839093 and 124839102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124839133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39532 + ... + 42572.

It is an arithmetic number, because the mean of its divisors is an integer number (6643728).

Almost surely, 2124839132 is an apocalyptic number.

124839132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

124839132 is the 9123-rd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124839132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159449472).

124839132 is an abundant number, since it is smaller than the sum of its proper divisors (194059812).

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

124839132 is a wasteful number, since it uses less digits than its factorization.

124839132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3368 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 124839132 is about 11173.1433356956. The cubic root of 124839132 is about 499.7854172550.

The spelling of 124839132 in words is "one hundred twenty-four million, eight hundred thirty-nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 311 622 933 1244 1866 3041 3421 3732 6082 6842 9123 10263 12164 13684 18246 20526 33451 36492 41052 66902 100353 133804 200706 401412 945751 1891502 2837253 3783004 5674506 10403261 11349012 20806522 31209783 41613044 62419566 124839132