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122981688 = 23321708079
BaseRepresentation
bin1110101010010…
…00110100111000
322120102010011100
413111020310320
5222440403223
620111531400
73022220124
oct725106470
9276363140
10122981688
1163468a65
1235229b60
131c62c13b
1412494584
15abe4043
hex7548d38

122981688 has 24 divisors (see below), whose sum is σ = 333075600. Its totient is φ = 40993872.

The previous prime is 122981671. The next prime is 122981731. The reversal of 122981688 is 886189221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

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 5 ways as a sum of consecutive naturals, for example, 853968 + ... + 854111.

It is an arithmetic number, because the mean of its divisors is an integer number (13878150).

Almost surely, 2122981688 is an apocalyptic number.

122981688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122981688 is an abundant number, since it is smaller than the sum of its proper divisors (210093912).

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

122981688 is a wasteful number, since it uses less digits than its factorization.

122981688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708091 (or 1708084 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 122981688 is about 11089.7109069624. The cubic root of 122981688 is about 497.2943021420.

The spelling of 122981688 in words is "one hundred twenty-two million, nine hundred eighty-one thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1708079 3416158 5124237 6832316 10248474 13664632 15372711 20496948 30745422 40993896 61490844 122981688