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122664928 = 2517443509
BaseRepresentation
bin1110100111110…
…11011111100000
322112211000122111
413103323133200
5222400234203
620101045104
73016430461
oct723733740
9275730574
10122664928
1163271a81
12350b6794
131c54abc9
1412410d68
15ab8026d
hex74fb7e0

122664928 has 48 divisors (see below), whose sum is σ = 256782960. Its totient is φ = 57481216.

The previous prime is 122664901. The next prime is 122664929. The reversal of 122664928 is 829466221.

It is a super-2 number, since 2×1226649282 = 30093369122490368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122664929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240738 + ... + 241246.

It is an arithmetic number, because the mean of its divisors is an integer number (5349645).

Almost surely, 2122664928 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 122664928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128391480).

122664928 is an abundant number, since it is smaller than the sum of its proper divisors (134118032).

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

122664928 is a wasteful number, since it uses less digits than its factorization.

122664928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 971 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 122664928 is about 11075.4199920364. The cubic root of 122664928 is about 496.8669800428.

The spelling of 122664928 in words is "one hundred twenty-two million, six hundred sixty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 443 509 544 886 1018 1772 2036 3544 4072 7088 7531 8144 8653 14176 15062 16288 17306 30124 34612 60248 69224 120496 138448 225487 240992 276896 450974 901948 1803896 3607792 3833279 7215584 7666558 15333116 30666232 61332464 122664928