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123913944 = 2332721131103
BaseRepresentation
bin1110110001011…
…00011011011000
322122011110222100
413120230123120
5223210221234
620143523400
73033152100
oct730543330
9278143870
10123913944
1163a45420
12355b9560
131c89757b
1412658200
15ad2a399
hex762c6d8

123913944 has 288 divisors, whose sum is σ = 443888640. Its totient is φ = 30844800.

The previous prime is 123913927. The next prime is 123913963. The reversal of 123913944 is 449319321.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (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 = 123913899 and 123913908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1202997 + ... + 1203099.

It is an arithmetic number, because the mean of its divisors is an integer number (1541280).

Almost surely, 2123913944 is an apocalyptic number.

123913944 is a gapful number since it is divisible by the number (14) 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 123913944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221944320).

123913944 is an abundant number, since it is smaller than the sum of its proper divisors (319974696).

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

123913944 is a wasteful number, since it uses less digits than its factorization.

123913944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 157 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 123913944 is about 11131.6640265506. The cubic root of 123913944 is about 498.5477111315.

The spelling of 123913944 in words is "one hundred twenty-three million, nine hundred thirteen thousand, nine hundred forty-four".