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23013376 = 21117661
BaseRepresentation
bin101011111001…
…0100000000000
31121022012102021
41113302200000
521342412001
62141131224
7366416251
oct127624000
947265367
1023013376
1111a99321
127859b14
1349c9ba9
1430b0b28
152048ba1
hex15f2800

23013376 has 48 divisors (see below), whose sum is σ = 48796020. Its totient is φ = 10813440.

The previous prime is 23013373. The next prime is 23013379. The reversal of 23013376 is 67331032.

It is an interprime number because it is at equal distance from previous prime (23013373) and next prime (23013379).

It can be written as a sum of positive squares in 2 ways, for example, as 20939776 + 2073600 = 4576^2 + 1440^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23013376.

It is not an unprimeable number, because it can be changed into a prime (23013373) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34486 + ... + 35146.

Almost surely, 223013376 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 23013376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24398010).

23013376 is an abundant number, since it is smaller than the sum of its proper divisors (25782644).

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

23013376 is an equidigital number, since it uses as much as digits as its factorization.

23013376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 25.

The square root of 23013376 is about 4797.2258650182. The cubic root of 23013376 is about 284.4418171054.

The spelling of 23013376 in words is "twenty-three million, thirteen thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 661 1024 1088 1322 2048 2176 2644 4352 5288 8704 10576 11237 17408 21152 22474 34816 42304 44948 84608 89896 169216 179792 338432 359584 676864 719168 1353728 1438336 2876672 5753344 11506688 23013376