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124161680 = 2452935297
BaseRepresentation
bin1110110011010…
…00111010010000
322122122001210202
413121220322100
5223241133210
620153114332
73035233256
oct731507220
9278561722
10124161680
11640a4565
12356b89a8
131c953266
14126c05d6
15ad789a5
hex7668e90

124161680 has 40 divisors (see below), whose sum is σ = 289715832. Its totient is φ = 49485824.

The previous prime is 124161619. The next prime is 124161689. The reversal of 124161680 is 86161421.

It can be written as a sum of positive squares in 4 ways, for example, as 59969536 + 64192144 = 7744^2 + 8012^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1241616802 = 30832245560844800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (124161689) 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, 20792 + ... + 26088.

Almost surely, 2124161680 is an apocalyptic number.

124161680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

124161680 is an abundant number, since it is smaller than the sum of its proper divisors (165554152).

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

124161680 is a wasteful number, since it uses less digits than its factorization.

124161680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5603 (or 5597 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 124161680 is about 11142.7860070989. The cubic root of 124161680 is about 498.8797318732.

The spelling of 124161680 in words is "one hundred twenty-four million, one hundred sixty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 293 586 1172 1465 2344 2930 4688 5297 5860 10594 11720 21188 23440 26485 42376 52970 84752 105940 211880 423760 1552021 3104042 6208084 7760105 12416168 15520210 24832336 31040420 62080840 124161680