Search a number
-
+
123053868 = 22327488309
BaseRepresentation
bin1110101010110…
…10011100101100
322120112210011200
413111122130230
5223000210433
620113245500
73022640430
oct725323454
9276483150
10123053868
1163508213
1235263890
131c655c52
14124b29c0
15ac0a613
hex755a72c

123053868 has 36 divisors (see below), whose sum is σ = 355489680. Its totient is φ = 35158176.

The previous prime is 123053857. The next prime is 123053893. The reversal of 123053868 is 868350321.

123053868 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1230538682 = 30284508859522848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

123053868 is strictly pandigital in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243903 + ... + 244406.

Almost surely, 2123053868 is an apocalyptic number.

123053868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

123053868 is an abundant number, since it is smaller than the sum of its proper divisors (232435812).

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

123053868 is a wasteful number, since it uses less digits than its factorization.

123053868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488326 (or 488321 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 123053868 is about 11092.9647975643. The cubic root of 123053868 is about 497.3915732160.

The spelling of 123053868 in words is "one hundred twenty-three million, fifty-three thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 488309 976618 1464927 1953236 2929854 3418163 4394781 5859708 6836326 8789562 10254489 13672652 17579124 20508978 30763467 41017956 61526934 123053868