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23140638 = 23217471609
BaseRepresentation
bin101100001000…
…1100100011110
31121112122222200
41120101210132
521411000023
62143552330
7400456263
oct130214436
947478880
1023140638
11120759a4
1278bb6a6
134a42ab1
14310526a
152071743
hex161191e

23140638 has 48 divisors (see below), whose sum is σ = 54250560. Its totient is φ = 7100928.

The previous prime is 23140609. The next prime is 23140657. The reversal of 23140638 is 83604132.

It is a happy number.

23140638 is a `hidden beast` number, since 23 + 1 + 4 + 0 + 638 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13578 + ... + 15186.

It is an arithmetic number, because the mean of its divisors is an integer number (1130220).

Almost surely, 223140638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23140638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27125280).

23140638 is an abundant number, since it is smaller than the sum of its proper divisors (31109922).

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

23140638 is a wasteful number, since it uses less digits than its factorization.

23140638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 23140638 is about 4810.4717024425. The cubic root of 23140638 is about 284.9651665645.

The spelling of 23140638 in words is "twenty-three million, one hundred forty thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 47 51 94 102 141 153 282 306 423 799 846 1598 1609 2397 3218 4794 4827 7191 9654 14382 14481 27353 28962 54706 75623 82059 151246 164118 226869 246177 453738 492354 680607 1285591 1361214 2571182 3856773 7713546 11570319 23140638