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123713328 = 2438293109
BaseRepresentation
bin1110101111110…
…11011100110000
322121210021210010
413113323130300
5223132311303
620135334520
73031355154
oct727733460
9277707703
10123713328
1163918722
1235521440
131c82716b
1412605064
15acdac03
hex75fb730

123713328 has 40 divisors (see below), whose sum is σ = 320081200. Its totient is φ = 41174784.

The previous prime is 123713299. The next prime is 123713399. The reversal of 123713328 is 823317321.

It is a junction number, because it is equal to n+sod(n) for n = 123713295 and 123713304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38238 + ... + 41346.

It is an arithmetic number, because the mean of its divisors is an integer number (8002030).

Almost surely, 2123713328 is an apocalyptic number.

It is an amenable number.

123713328 is an abundant number, since it is smaller than the sum of its proper divisors (196367872).

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

123713328 is a wasteful number, since it uses less digits than its factorization.

123713328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3949 (or 3943 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 123713328 is about 11122.6493246888. The cubic root of 123713328 is about 498.2785171289.

The spelling of 123713328 in words is "one hundred twenty-three million, seven hundred thirteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 829 1658 2487 3109 3316 4974 6218 6632 9327 9948 12436 13264 18654 19896 24872 37308 39792 49744 74616 149232 2577361 5154722 7732083 10309444 15464166 20618888 30928332 41237776 61856664 123713328