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124342080 = 26351719401
BaseRepresentation
bin1110110100101…
…00111101000000
322122222020021020
413122110331000
5223312421310
620201025440
73036614232
oct732247500
9278866236
10124342080
1164208055
1235785280
131c9b73c5
141272a252
15adb2170
hex7694f40

124342080 has 224 divisors, whose sum is σ = 441106560. Its totient is φ = 29491200.

The previous prime is 124342037. The next prime is 124342123. The reversal of 124342080 is 80243421.

It is an interprime number because it is at equal distance from previous prime (124342037) and next prime (124342123).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 124342080.

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 31 ways as a sum of consecutive naturals, for example, 309880 + ... + 310280.

Almost surely, 2124342080 is an apocalyptic number.

124342080 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 124342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220553280).

124342080 is an abundant number, since it is smaller than the sum of its proper divisors (316764480).

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

124342080 is a wasteful number, since it uses less digits than its factorization.

124342080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 124342080 is about 11150.8779923376. The cubic root of 124342080 is about 499.1212297639.

The spelling of 124342080 in words is "one hundred twenty-four million, three hundred forty-two thousand, eighty".