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123949680 = 2435516457
BaseRepresentation
bin1110110001101…
…01001001110000
322122020021222220
413120311021300
5223212342210
620144401040
73033361221
oct730651160
9278207886
10123949680
1163a6a258
1235616180
131c8aa90a
1412667248
15ad35c70
hex7635270

123949680 has 40 divisors (see below), whose sum is σ = 384244752. Its totient is φ = 33053184.

The previous prime is 123949663. The next prime is 123949681. The reversal of 123949680 is 86949321.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123949681) 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, 257989 + ... + 258468.

Almost surely, 2123949680 is an apocalyptic number.

123949680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123949680 is an abundant number, since it is smaller than the sum of its proper divisors (260295072).

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

123949680 is a wasteful number, since it uses less digits than its factorization.

123949680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516473 (or 516467 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 123949680 is about 11133.2690616907. The cubic root of 123949680 is about 498.5956325304.

The spelling of 123949680 in words is "one hundred twenty-three million, nine hundred forty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 516457 1032914 1549371 2065828 2582285 3098742 4131656 5164570 6197484 7746855 8263312 10329140 12394968 15493710 20658280 24789936 30987420 41316560 61974840 123949680