Search a number
-
+
123053664 = 2531281809
BaseRepresentation
bin1110101010110…
…10011001100000
322120112202220010
413111122121200
5223000204124
620113244520
73022640016
oct725323140
9276482803
10123053664
1163508048
1235263740
131c655b26
14124b28b6
15ac0a529
hex755a660

123053664 has 24 divisors (see below), whose sum is σ = 323016120. Its totient is φ = 41017856.

The previous prime is 123053627. The next prime is 123053683. The reversal of 123053664 is 466350321.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×1230536643 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 640809 + ... + 641000.

It is an arithmetic number, because the mean of its divisors is an integer number (13459005).

Almost surely, 2123053664 is an apocalyptic number.

It is an amenable number.

123053664 is an abundant number, since it is smaller than the sum of its proper divisors (199962456).

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

123053664 is a wasteful number, since it uses less digits than its factorization.

123053664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281822 (or 1281814 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 123053664 is about 11092.9556025434. The cubic root of 123053664 is about 497.3912983555.

The spelling of 123053664 in words is "one hundred twenty-three million, fifty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1281809 2563618 3845427 5127236 7690854 10254472 15381708 20508944 30763416 41017888 61526832 123053664