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23400 = 23325213
BaseRepresentation
bin101101101101000
31012002200
411231220
51222100
6300200
7125136
oct55550
935080
1023400
1116643
1211660
13a860
148756
156e00
hex5b68

23400 has 72 divisors (see below), whose sum is σ = 84630. Its totient is φ = 5760.

The previous prime is 23399. The next prime is 23417. The reversal of 23400 is 432.

Adding to 23400 its reverse (432), we get a palindrome (23832).

23400 = 33 + 43 + ... + 173.

It can be written as a sum of positive squares in 3 ways, for example, as 12996 + 10404 = 114^2 + 102^2 .

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 (9).

It is a nialpdrome in base 8 and base 13.

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, 1794 + ... + 1806.

223400 is an apocalyptic number.

23400 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 23400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42315).

23400 is an abundant number, since it is smaller than the sum of its proper divisors (61230).

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

23400 is a wasteful number, since it uses less digits than its factorization.

23400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 23400 is about 152.9705854078. The cubic root of 23400 is about 28.6025850598.

The spelling of 23400 in words is "twenty-three thousand, four hundred", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 100 104 117 120 130 150 156 180 195 200 225 234 260 300 312 325 360 390 450 468 520 585 600 650 780 900 936 975 1170 1300 1560 1800 1950 2340 2600 2925 3900 4680 5850 7800 11700 23400