Search a number
-
+
23261400 = 23325212923
BaseRepresentation
bin101100010111…
…1000011011000
31121202210122100
41120233003120
521423331100
62150323400
7401501331
oct130570330
947683570
1023261400
11121486a8
127959560
134a85a56
143137288
152097400
hex162f0d8

23261400 has 72 divisors (see below), whose sum is σ = 78125580. Its totient is φ = 6202560.

The previous prime is 23261387. The next prime is 23261429. The reversal of 23261400 is 416232.

It is a happy number.

23261400 is a `hidden beast` number, since 2 + 3 + 261 + 400 = 666.

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 a congruent number.

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, 4662 + ... + 8261.

Almost surely, 223261400 is an apocalyptic number.

23261400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23261400 is an abundant number, since it is smaller than the sum of its proper divisors (54864180).

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

23261400 is a wasteful number, since it uses less digits than its factorization.

23261400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12945 (or 12933 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 23261400 is about 4823.0073605583. The cubic root of 23261400 is about 285.4600142544.

Adding to 23261400 its reverse (416232), we get a palindrome (23677632).

The spelling of 23261400 in words is "twenty-three million, two hundred sixty-one 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 12923 25846 38769 51692 64615 77538 103384 116307 129230 155076 193845 232614 258460 310152 323075 387690 465228 516920 581535 646150 775380 930456 969225 1163070 1292300 1550760 1938450 2326140 2584600 2907675 3876900 4652280 5815350 7753800 11630700 23261400