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123992980 = 22529713011
BaseRepresentation
bin1110110001111…
…11101110010100
322122022111101121
413120333232110
5223220233410
620145333324
73033631366
oct730775624
9278274347
10123992980
1163a99841
1235637244
131c8c4537
1412678d36
15ad439da
hex763fb94

123992980 has 48 divisors (see below), whose sum is σ = 273248640. Its totient is φ = 47196800.

The previous prime is 123992971. The next prime is 123992989. The reversal of 123992980 is 89299321.

It is an interprime number because it is at equal distance from previous prime (123992971) and next prime (123992989).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123992989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39675 + ... + 42685.

It is an arithmetic number, because the mean of its divisors is an integer number (5692680).

Almost surely, 2123992980 is an apocalyptic number.

123992980 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 123992980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136624320).

123992980 is an abundant number, since it is smaller than the sum of its proper divisors (149255660).

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

123992980 is a wasteful number, since it uses less digits than its factorization.

123992980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120 (or 3118 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The square root of 123992980 is about 11135.2135138937. The cubic root of 123992980 is about 498.6536847911.

The spelling of 123992980 in words is "one hundred twenty-three million, nine hundred ninety-two thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 71 116 142 145 284 290 355 580 710 1420 2059 3011 4118 6022 8236 10295 12044 15055 20590 30110 41180 60220 87319 174638 213781 349276 427562 436595 855124 873190 1068905 1746380 2137810 4275620 6199649 12399298 24798596 30998245 61996490 123992980