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23053400 = 2352731579
BaseRepresentation
bin101011111110…
…0010001011000
31121101020022122
41113330101120
521400202100
62142040412
7366644036
oct127742130
947336278
1023053400
11120163a7
127879108
134a12186
1430c1556
152055985
hex15fc458

23053400 has 48 divisors (see below), whose sum is σ = 54367800. Its totient is φ = 9089280.

The previous prime is 23053399. The next prime is 23053423. The reversal of 23053400 is 435032.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 13811 + ... + 15389.

Almost surely, 223053400 is an apocalyptic number.

23053400 is a gapful number since it is divisible by the number (20) 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 23053400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27183900).

23053400 is an abundant number, since it is smaller than the sum of its proper divisors (31314400).

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

23053400 is a wasteful number, since it uses less digits than its factorization.

23053400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 23053400 is about 4801.3956304391. The cubic root of 23053400 is about 284.6066184485.

Adding to 23053400 its reverse (435032), we get a palindrome (23488432).

The spelling of 23053400 in words is "twenty-three million, fifty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 1460 1579 1825 2920 3158 3650 6316 7300 7895 12632 14600 15790 31580 39475 63160 78950 115267 157900 230534 315800 461068 576335 922136 1152670 2305340 2881675 4610680 5763350 11526700 23053400