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23126688 = 2533132971
BaseRepresentation
bin101100000111…
…0001010100000
31121111221212000
41120032022200
521410023223
62143404000
7400400514
oct130161240
947457760
1023126688
1112066472
1278b3600
134a39640
143100144
15206c543
hex160e2a0

23126688 has 192 divisors, whose sum is σ = 76204800. Its totient is φ = 6773760.

The previous prime is 23126683. The next prime is 23126699. The reversal of 23126688 is 88662132.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23126683) 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, 325693 + ... + 325763.

It is an arithmetic number, because the mean of its divisors is an integer number (396900).

Almost surely, 223126688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23126688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38102400).

23126688 is an abundant number, since it is smaller than the sum of its proper divisors (53078112).

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

23126688 is a wasteful number, since it uses less digits than its factorization.

23126688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 23126688 is about 4809.0215220978. The cubic root of 23126688 is about 284.9078926733.

The spelling of 23126688 in words is "twenty-three million, one hundred twenty-six thousand, six hundred eighty-eight".