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122792072 = 23131180693
BaseRepresentation
bin1110101000110…
…10100010001000
322120001111001112
413110122202020
5222413321242
620103505452
73020500244
oct724324210
9276044045
10122792072
1163349557
1235158288
131c593a40
1412445424
15aba7c82
hex751a888

122792072 has 16 divisors (see below), whose sum is σ = 247945740. Its totient is φ = 56673216.

The previous prime is 122792057. The next prime is 122792077. The reversal of 122792072 is 270297221.

It can be written as a sum of positive squares in 2 ways, for example, as 111809476 + 10982596 = 10574^2 + 3314^2 .

It is not an unprimeable number, because it can be changed into a prime (122792077) 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 3 ways as a sum of consecutive naturals, for example, 590243 + ... + 590450.

Almost surely, 2122792072 is an apocalyptic number.

It is an amenable number.

122792072 is an abundant number, since it is smaller than the sum of its proper divisors (125153668).

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

122792072 is a wasteful number, since it uses less digits than its factorization.

122792072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180712 (or 1180708 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 122792072 is about 11081.1584231975. The cubic root of 122792072 is about 497.0385907389.

The spelling of 122792072 in words is "one hundred twenty-two million, seven hundred ninety-two thousand, seventy-two".

Divisors: 1 2 4 8 13 26 52 104 1180693 2361386 4722772 9445544 15349009 30698018 61396036 122792072