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23061264 = 2432916567
BaseRepresentation
bin101011111111…
…0001100010000
31121101122002220
41113332030100
521400430024
62142141040
7400006002
oct127761420
947348086
1023061264
11120212a6
127881780
134a15925
1430c4372
152057e79
hex15fe310

23061264 has 40 divisors (see below), whose sum is σ = 61632960. Its totient is φ = 7421568.

The previous prime is 23061253. The next prime is 23061277. The reversal of 23061264 is 46216032.

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

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, 6892 + ... + 9675.

It is an arithmetic number, because the mean of its divisors is an integer number (1540824).

Almost surely, 223061264 is an apocalyptic number.

23061264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23061264 is an abundant number, since it is smaller than the sum of its proper divisors (38571696).

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

23061264 is a wasteful number, since it uses less digits than its factorization.

23061264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16607 (or 16601 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 23061264 is about 4802.2144891706. The cubic root of 23061264 is about 284.6389765389.

Adding to 23061264 its reverse (46216032), we get a palindrome (69277296).

It can be divided in two parts, 2306 and 1264, that added together give a triangular number (3570 = T84).

The spelling of 23061264 in words is "twenty-three million, sixty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 16567 33134 49701 66268 99402 132536 198804 265072 397608 480443 795216 960886 1441329 1921772 2882658 3843544 5765316 7687088 11530632 23061264