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23013024 = 253534523
BaseRepresentation
bin101011111001…
…0011010100000
31121022011221020
41113302122200
521342404044
62141125440
7366415236
oct127623240
947264836
1023013024
1111a99031
127859880
1349c9998
1430b0956
152048a19
hex15f26a0

23013024 has 48 divisors (see below), whose sum is σ = 61562592. Its totient is φ = 7524608.

The previous prime is 23013007. The next prime is 23013059. The reversal of 23013024 is 42031032.

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

It is a junction number, because it is equal to n+sod(n) for n = 23012994 and 23013012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2827 + ... + 7349.

It is an arithmetic number, because the mean of its divisors is an integer number (1282554).

Almost surely, 223013024 is an apocalyptic number.

23013024 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 23013024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30781296).

23013024 is an abundant number, since it is smaller than the sum of its proper divisors (38549568).

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

23013024 is a wasteful number, since it uses less digits than its factorization.

23013024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4589 (or 4581 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 23013024 is about 4797.1891770077. The cubic root of 23013024 is about 284.4403668759.

Adding to 23013024 its reverse (42031032), we get a palindrome (65044056).

The spelling of 23013024 in words is "twenty-three million, thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 4523 5088 9046 13569 18092 27138 36184 54276 72368 108552 144736 217104 239719 434208 479438 719157 958876 1438314 1917752 2876628 3835504 5753256 7671008 11506512 23013024