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122975264 = 2531532339
BaseRepresentation
bin1110101010001…
…11010000100000
322120101210100102
413111013100200
5222440202024
620111441532
73022162316
oct725072040
9276353312
10122975264
1163464155
12352262a8
131c629239
14124920b6
15abe21ae
hex7547420

122975264 has 48 divisors (see below), whose sum is σ = 254741760. Its totient is φ = 58356480.

The previous prime is 122975261. The next prime is 122975269. The reversal of 122975264 is 462579221.

It is not an unprimeable number, because it can be changed into a prime (122975261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51407 + ... + 53745.

It is an arithmetic number, because the mean of its divisors is an integer number (5307120).

Almost surely, 2122975264 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 122975264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127370880).

122975264 is an abundant number, since it is smaller than the sum of its proper divisors (131766496).

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

122975264 is a wasteful number, since it uses less digits than its factorization.

122975264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2425 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 122975264 is about 11089.4212653321. The cubic root of 122975264 is about 497.2856431992.

The spelling of 122975264 in words is "one hundred twenty-two million, nine hundred seventy-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 53 62 106 124 212 248 424 496 848 992 1643 1696 2339 3286 4678 6572 9356 13144 18712 26288 37424 52576 72509 74848 123967 145018 247934 290036 495868 580072 991736 1160144 1983472 2320288 3842977 3966944 7685954 15371908 30743816 61487632 122975264