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124944 = 24319137
BaseRepresentation
bin11110100000010000
320100101120
4132200100
512444234
62402240
71030161
oct364020
9210346
10124944
1185966
1260380
1344b41
1433768
1527049
hex1e810

124944 has 40 divisors (see below), whose sum is σ = 342240. Its totient is φ = 39168.

The previous prime is 124919. The next prime is 124951. The reversal of 124944 is 449421.

It is a super-2 number, since 2×1249442 = 31222006272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 124944.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 844 + ... + 980.

It is an arithmetic number, because the mean of its divisors is an integer number (8556).

2124944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171120).

124944 is an abundant number, since it is smaller than the sum of its proper divisors (217296).

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

124944 is a wasteful number, since it uses less digits than its factorization.

124944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 161 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 124944 is about 353.4741857618. The cubic root of 124944 is about 49.9925322180.

The spelling of 124944 in words is "one hundred twenty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 137 152 228 274 304 411 456 548 822 912 1096 1644 2192 2603 3288 5206 6576 7809 10412 15618 20824 31236 41648 62472 124944