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122941960 = 23517180797
BaseRepresentation
bin1110101001111…
…11001000001000
322120100002122221
413110333020020
5222433120320
620111023424
73021663241
oct724771010
9276302587
10122941960
1163441129
123520ab74
131c61702b
1412483cc8
15abd73aa
hex753f208

122941960 has 32 divisors (see below), whose sum is σ = 292892760. Its totient is φ = 46283776.

The previous prime is 122941891. The next prime is 122941961. The reversal of 122941960 is 69149221.

It can be written as a sum of positive squares in 4 ways, for example, as 87871876 + 35070084 = 9374^2 + 5922^2 .

It is a super-2 number, since 2×1229419602 = 30229451057283200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (122941961) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 89719 + ... + 91078.

Almost surely, 2122941960 is an apocalyptic number.

122941960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122941960 is an abundant number, since it is smaller than the sum of its proper divisors (169950800).

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

122941960 is a wasteful number, since it uses less digits than its factorization.

122941960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180825 (or 180821 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 122941960 is about 11087.9195523777. The cubic root of 122941960 is about 497.2407477305.

The spelling of 122941960 in words is "one hundred twenty-two million, nine hundred forty-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 180797 361594 723188 903985 1446376 1807970 3073549 3615940 6147098 7231880 12294196 15367745 24588392 30735490 61470980 122941960