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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".