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122690520 = 233253761151
BaseRepresentation
bin1110101000000…
…01101111011000
322112212022202100
413110001233120
5222402044040
620101403400
73016565211
oct724015730
9275768670
10122690520
116328a227
1235109560
131c559754
141241a408
15ab87b30
hex7501bd8

122690520 has 192 divisors, whose sum is σ = 418991040. Its totient is φ = 31104000.

The previous prime is 122690489. The next prime is 122690531. The reversal of 122690520 is 25096221.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 812445 + ... + 812595.

It is an arithmetic number, because the mean of its divisors is an integer number (2182245).

Almost surely, 2122690520 is an apocalyptic number.

122690520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122690520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209495520).

122690520 is an abundant number, since it is smaller than the sum of its proper divisors (296300520).

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

122690520 is a wasteful number, since it uses less digits than its factorization.

122690520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 122690520 is about 11076.5752830015. The cubic root of 122690520 is about 496.9015319878.

The spelling of 122690520 in words is "one hundred twenty-two million, six hundred ninety thousand, five hundred twenty".