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122993928 = 233213072
BaseRepresentation
bin1110101010010…
…11110100001000
322120102201221200
413111023310020
5222441301203
620112104200
73022300611
oct725136410
9276381850
10122993928
1163477182
1235235060
131c634895
1412498c08
15abe79a3
hex754bd08

122993928 has 36 divisors (see below), whose sum is σ = 333363615. Its totient is φ = 40966608.

The previous prime is 122993917. The next prime is 122993951. The reversal of 122993928 is 829399221.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 61496964 + 61496964 = 7842^2 + 7842^2 .

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

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7842.

It is a nude number because it is divisible by every one of its digits.

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 8 ways as a sum of consecutive naturals, for example, 93451 + ... + 94757.

Almost surely, 2122993928 is an apocalyptic number.

122993928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122993928 is an abundant number, since it is smaller than the sum of its proper divisors (210369687).

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

122993928 is an equidigital number, since it uses as much as digits as its factorization.

122993928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626 (or 1312 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 122993928 is about 11090.2627561298. The cubic root of 122993928 is about 497.3107996668.

The spelling of 122993928 in words is "one hundred twenty-two million, nine hundred ninety-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1307 2614 3921 5228 7842 10456 11763 15684 23526 31368 47052 94104 1708249 3416498 5124747 6832996 10249494 13665992 15374241 20498988 30748482 40997976 61496964 122993928