Search a number
-
+
123372256 = 257619029
BaseRepresentation
bin1110101101010…
…00001011100000
322121010221220211
413112220023200
5223040403011
620124143504
73025434610
oct726501340
9277127824
10123372256
1163705447
1235397b94
131c737b47
1412556a40
15ac6eb21
hex75a82e0

123372256 has 48 divisors (see below), whose sum is σ = 282169440. Its totient is φ = 52001280.

The previous prime is 123372251. The next prime is 123372269. The reversal of 123372256 is 652273321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123372251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9150 + ... + 18178.

It is an arithmetic number, because the mean of its divisors is an integer number (5878530).

Almost surely, 2123372256 is an apocalyptic number.

123372256 is a gapful number since it is divisible by the number (16) 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 123372256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141084720).

123372256 is an abundant number, since it is smaller than the sum of its proper divisors (158797184).

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

123372256 is an equidigital number, since it uses as much as digits as its factorization.

123372256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9107 (or 9099 counting only the distinct ones).

The product of its digits is 15120, while the sum is 31.

The square root of 123372256 is about 11107.3064241516. The cubic root of 123372256 is about 497.8201852925.

The spelling of 123372256 in words is "one hundred twenty-three million, three hundred seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 112 122 224 244 427 488 854 976 1708 1952 3416 6832 9029 13664 18058 36116 63203 72232 126406 144464 252812 288928 505624 550769 1011248 1101538 2022496 2203076 3855383 4406152 7710766 8812304 15421532 17624608 30843064 61686128 123372256