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23015904 = 2531971217
BaseRepresentation
bin101011111001…
…1000111100000
31121022022212220
41113303013200
521343002104
62141151040
7366426522
oct127630740
947268786
1023015904
1111aa020a
12785b480
1349cb0a2
1430b1a12
1520497d9
hex15f31e0

23015904 has 48 divisors (see below), whose sum is σ = 60773328. Its totient is φ = 7626752.

The previous prime is 23015899. The next prime is 23015917. The reversal of 23015904 is 40951032.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 18304 + ... + 19520.

It is an arithmetic number, because the mean of its divisors is an integer number (1266111).

Almost surely, 223015904 is an apocalyptic number.

23015904 is a gapful number since it is divisible by the number (24) 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 23015904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30386664).

23015904 is an abundant number, since it is smaller than the sum of its proper divisors (37757424).

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

23015904 is a wasteful number, since it uses less digits than its factorization.

23015904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 23015904 is about 4797.4893433962. The cubic root of 23015904 is about 284.4522319555.

Adding to 23015904 its reverse (40951032), we get a palindrome (63966936).

The spelling of 23015904 in words is "twenty-three million, fifteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 197 394 591 788 1182 1217 1576 2364 2434 3152 3651 4728 4868 6304 7302 9456 9736 14604 18912 19472 29208 38944 58416 116832 239749 479498 719247 958996 1438494 1917992 2876988 3835984 5753976 7671968 11507952 23015904