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122937072 = 2433182619
BaseRepresentation
bin1110101001111…
…01111011110000
322120022211221220
413110331323300
5222432441242
620110545040
73021643056
oct724757360
9276284856
10122937072
1163438495
1235208180
131c614a3b
14124821d6
15abd5bec
hex753def0

122937072 has 40 divisors (see below), whose sum is σ = 327836160. Its totient is φ = 39656640.

The previous prime is 122937053. The next prime is 122937077. The reversal of 122937072 is 270739221.

It is a super-2 number, since 2×1229370722 = 30227047343866368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122937077) 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, 39822 + ... + 42797.

It is an arithmetic number, because the mean of its divisors is an integer number (8195904).

Almost surely, 2122937072 is an apocalyptic number.

122937072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122937072 is an abundant number, since it is smaller than the sum of its proper divisors (204899088).

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

122937072 is a wasteful number, since it uses less digits than its factorization.

122937072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82661 (or 82655 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 122937072 is about 11087.6991301171. The cubic root of 122937072 is about 497.2341577781.

The spelling of 122937072 in words is "one hundred twenty-two million, nine hundred thirty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 82619 165238 247857 330476 495714 660952 991428 1321904 1982856 2561189 3965712 5122378 7683567 10244756 15367134 20489512 30734268 40979024 61468536 122937072