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123383040 = 28351123127
BaseRepresentation
bin1110101101010…
…10110100000000
322121011111201020
413112222310000
5223041224130
620124305440
73025511214
oct726526400
9277144636
10123383040
1163712560
12353a2280
131c73ca21
141255a944
15ac72e10
hex75aad00

123383040 has 288 divisors, whose sum is σ = 452100096. Its totient is φ = 28385280.

The previous prime is 123383027. The next prime is 123383041. The reversal of 123383040 is 40383321.

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 123383040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123383041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 971457 + ... + 971583.

It is an arithmetic number, because the mean of its divisors is an integer number (1569792).

Almost surely, 2123383040 is an apocalyptic number.

123383040 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 123383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226050048).

123383040 is an abundant number, since it is smaller than the sum of its proper divisors (328717056).

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

123383040 is a wasteful number, since it uses less digits than its factorization.

123383040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 123383040 is about 11107.7918597712. The cubic root of 123383040 is about 497.8346897325.

The spelling of 123383040 in words is "one hundred twenty-three million, three hundred eighty-three thousand, forty".