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23135400 = 23325212853
BaseRepresentation
bin101100001000…
…0010010101000
31121112101210200
41120100102220
521410313100
62143512200
7400435101
oct130202250
947471720
1023135400
1112071a72
1278b8660
134a405b2
1431033a8
15206ee00
hex16104a8

23135400 has 72 divisors (see below), whose sum is σ = 77702430. Its totient is φ = 6168960.

The previous prime is 23135389. The next prime is 23135443. The reversal of 23135400 is 453132.

23135400 is a `hidden beast` number, since 231 + 35 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 14243076 + 8892324 = 3774^2 + 2982^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4627 + ... + 8226.

Almost surely, 223135400 is an apocalyptic number.

23135400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23135400 is an abundant number, since it is smaller than the sum of its proper divisors (54567030).

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

23135400 is a wasteful number, since it uses less digits than its factorization.

23135400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12875 (or 12863 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 23135400 is about 4809.9272343768. The cubic root of 23135400 is about 284.9436638416.

Adding to 23135400 its reverse (453132), we get a palindrome (23588532).

The spelling of 23135400 in words is "twenty-three million, one hundred thirty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 12853 25706 38559 51412 64265 77118 102824 115677 128530 154236 192795 231354 257060 308472 321325 385590 462708 514120 578385 642650 771180 925416 963975 1156770 1285300 1542360 1927950 2313540 2570600 2891925 3855900 4627080 5783850 7711800 11567700 23135400