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23029984 = 253753367
BaseRepresentation
bin101011111011…
…0100011100000
31121100001012101
41113312203200
521343424414
62141340144
7366515545
oct127664340
947301171
1023029984
1111aaa84a
127867654
134a04613
1430b6bcc
15204da74
hex15f68e0

23029984 has 48 divisors (see below), whose sum is σ = 47573568. Its totient is φ = 10962432.

The previous prime is 23029949. The next prime is 23029991. The reversal of 23029984 is 48992032.

It is a Harshad number since it is a multiple of its sum of digits (37).

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 7 ways as a sum of consecutive naturals, for example, 62569 + ... + 62935.

It is an arithmetic number, because the mean of its divisors is an integer number (991116).

Almost surely, 223029984 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 23029984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23786784).

23029984 is an abundant number, since it is smaller than the sum of its proper divisors (24543584).

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

23029984 is a wasteful number, since it uses less digits than its factorization.

23029984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 23029984 is about 4798.9565532520. The cubic root of 23029984 is about 284.5102247677.

The spelling of 23029984 in words is "twenty-three million, twenty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 37 53 74 106 148 212 296 367 424 592 734 848 1184 1468 1696 1961 2936 3922 5872 7844 11744 13579 15688 19451 27158 31376 38902 54316 62752 77804 108632 155608 217264 311216 434528 622432 719687 1439374 2878748 5757496 11514992 23029984