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123932080 = 2452953419
BaseRepresentation
bin1110110001100…
…00110110110000
322122012101212001
413120300312300
5223211311310
620144143344
73033256006
oct730606660
9278171761
10123932080
1163a58008
1235607b54
131c8a28bc
1412660a76
15ad3093a
hex7630db0

123932080 has 40 divisors (see below), whose sum is σ = 298083600. Its totient is φ = 47862528.

The previous prime is 123932071. The next prime is 123932089. The reversal of 123932080 is 80239321.

It is an interprime number because it is at equal distance from previous prime (123932071) and next prime (123932089).

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

It is not an unprimeable number, because it can be changed into a prime (123932089) 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, 24390 + ... + 29029.

It is an arithmetic number, because the mean of its divisors is an integer number (7452090).

Almost surely, 2123932080 is an apocalyptic number.

123932080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123932080 is an abundant number, since it is smaller than the sum of its proper divisors (174151520).

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

123932080 is a wasteful number, since it uses less digits than its factorization.

123932080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53461 (or 53455 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 123932080 is about 11132.4786099053. The cubic root of 123932080 is about 498.5720323659.

The spelling of 123932080 in words is "one hundred twenty-three million, nine hundred thirty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 53419 106838 213676 267095 427352 534190 854704 1068380 1549151 2136760 3098302 4273520 6196604 7745755 12393208 15491510 24786416 30983020 61966040 123932080