Search a number
-
+
123256404 = 223643983
BaseRepresentation
bin1110101100010…
…11111001010100
322120221002000000
413112023321110
5223023201104
620121451300
73024443055
oct726137124
9276832000
10123256404
11636363a7
1235340b30
131c6c71ab
141252672c
15ac4a639
hex758be54

123256404 has 84 divisors (see below), whose sum is σ = 331257696. Its totient is φ = 40089168.

The previous prime is 123256391. The next prime is 123256423. The reversal of 123256404 is 404652321.

123256404 is a `hidden beast` number, since 1 + 2 + 3 + 256 + 404 = 666.

It is a super-2 number, since 2×1232564042 = 30384282254022432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 124897 + ... + 125879.

It is an arithmetic number, because the mean of its divisors is an integer number (3943544).

Almost surely, 2123256404 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 123256404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165628848).

123256404 is an abundant number, since it is smaller than the sum of its proper divisors (208001292).

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

123256404 is an equidigital number, since it uses as much as digits as its factorization.

123256404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 123256404 is about 11102.0900734952. The cubic root of 123256404 is about 497.6643114409.

The spelling of 123256404 in words is "one hundred twenty-three million, two hundred fifty-six thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 243 258 324 387 486 516 729 774 972 983 1161 1458 1548 1966 2322 2916 2949 3483 3932 4644 5898 6966 8847 10449 11796 13932 17694 20898 26541 31347 35388 41796 42269 53082 62694 79623 84538 106164 125388 126807 159246 169076 238869 253614 318492 380421 477738 507228 716607 760842 955476 1141263 1433214 1521684 2282526 2866428 3423789 4565052 6847578 10271367 13695156 20542734 30814101 41085468 61628202 123256404