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23003136 = 2163313
BaseRepresentation
bin101011111000…
…0000000000000
31121021200101000
41113300000000
521342100021
62141012000
7366344352
oct127600000
947250330
1023003136
1111a91662
127854000
1349c5330
1430ab0d2
152045b26
hex15f0000

23003136 has 136 divisors (see below), whose sum is σ = 73399760. Its totient is φ = 7077888.

The previous prime is 23003131. The next prime is 23003143. The reversal of 23003136 is 63130032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23003131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1769466 + ... + 1769478.

Almost surely, 223003136 is an apocalyptic number.

23003136 is a gapful number since it is divisible by the number (26) 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 23003136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36699880).

23003136 is an abundant number, since it is smaller than the sum of its proper divisors (50396624).

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

23003136 is an frugal number, since it uses more digits than its factorization.

23003136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 23003136 is about 4796.1584627700. The cubic root of 23003136 is about 284.3996225671.

Adding to 23003136 its reverse (63130032), we get a palindrome (86133168).

The spelling of 23003136 in words is "twenty-three million, three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 512 576 624 702 768 832 864 936 1024 1152 1248 1404 1536 1664 1728 1872 2048 2304 2496 2808 3072 3328 3456 3744 4096 4608 4992 5616 6144 6656 6912 7488 8192 9216 9984 11232 12288 13312 13824 14976 16384 18432 19968 22464 24576 26624 27648 29952 32768 36864 39936 44928 49152 53248 55296 59904 65536 73728 79872 89856 98304 106496 110592 119808 147456 159744 179712 196608 212992 221184 239616 294912 319488 359424 425984 442368 479232 589824 638976 718848 851968 884736 958464 1277952 1437696 1769472 1916928 2555904 2875392 3833856 5750784 7667712 11501568 23003136