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11823972 = 223985331
BaseRepresentation
bin101101000110…
…101101100100
3211020201102220
4231012231210
511011331342
61101232340
7202334136
oct55065544
924221386
1011823972
116746586
123b626b0
1325acb44
1417db056
1510885ec
hexb46b64

11823972 has 12 divisors (see below), whose sum is σ = 27589296. Its totient is φ = 3941320.

The previous prime is 11823971. The next prime is 11823991. The reversal of 11823972 is 27932811.

11823972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (11823971) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 492654 + ... + 492677.

It is an arithmetic number, because the mean of its divisors is an integer number (2299108).

Almost surely, 211823972 is an apocalyptic number.

11823972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11823972 is an abundant number, since it is smaller than the sum of its proper divisors (15765324).

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

11823972 is a wasteful number, since it uses less digits than its factorization.

11823972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985338 (or 985336 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 11823972 is about 3438.6002966323. The cubic root of 11823972 is about 227.8178754887.

It can be divided in two parts, 118 and 23972, that added together give a triangular number (24090 = T219).

The spelling of 11823972 in words is "eleven million, eight hundred twenty-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 985331 1970662 2955993 3941324 5911986 11823972