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122926016 = 2610491831
BaseRepresentation
bin1110101001110…
…11001111000000
322120022021210102
413110323033000
5222432113031
620110421532
73021565613
oct724731700
9276267712
10122926016
1163430154
12352018a8
131c60c9b5
141247c17a
15abd27cb
hex753b3c0

122926016 has 28 divisors (see below), whose sum is σ = 244297200. Its totient is φ = 61370880.

The previous prime is 122926003. The next prime is 122926019. The reversal of 122926016 is 610629221.

It is a happy number.

It is a super-3 number, since 3×1229260163 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 122926016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122926019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66221 + ... + 68051.

It is an arithmetic number, because the mean of its divisors is an integer number (8724900).

Almost surely, 2122926016 is an apocalyptic number.

122926016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122926016 is a deficient number, since it is larger than the sum of its proper divisors (121371184).

122926016 is a wasteful number, since it uses less digits than its factorization.

122926016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 122926016 is about 11087.2005483801. The cubic root of 122926016 is about 497.2192515458.

The spelling of 122926016 in words is "one hundred twenty-two million, nine hundred twenty-six thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 1049 1831 2098 3662 4196 7324 8392 14648 16784 29296 33568 58592 67136 117184 1920719 3841438 7682876 15365752 30731504 61463008 122926016