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23023104 = 293131153
BaseRepresentation
bin101011111010…
…0111000000000
31121022200202120
41113310320000
521343214404
62141244240
7366456516
oct127647000
947280676
1023023104
1111aa5665
127863680
134a01450
1430b44b6
15204b9d9
hex15f4e00

23023104 has 80 divisors (see below), whose sum is σ = 66110352. Its totient is φ = 7077888.

The previous prime is 23023097. The next prime is 23023123. The reversal of 23023104 is 40132032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19392 + ... + 20544.

Almost surely, 223023104 is an apocalyptic number.

23023104 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 23023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33055176).

23023104 is an abundant number, since it is smaller than the sum of its proper divisors (43087248).

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

23023104 is a wasteful number, since it uses less digits than its factorization.

23023104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1171 counting only the distinct ones).

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

The square root of 23023104 is about 4798.2396772150. The cubic root of 23023104 is about 284.4818903248.

Adding to 23023104 its reverse (40132032), we get a palindrome (63155136).

The spelling of 23023104 in words is "twenty-three million, twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1153 1248 1536 1664 2306 2496 3328 3459 4612 4992 6656 6918 9224 9984 13836 14989 18448 19968 27672 29978 36896 44967 55344 59956 73792 89934 110688 119912 147584 179868 221376 239824 295168 359736 442752 479648 590336 719472 885504 959296 1438944 1771008 1918592 2877888 3837184 5755776 7674368 11511552 23023104