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11231904 = 253791481
BaseRepresentation
bin101010110110…
…001010100000
3210010122021110
4222312022200
510333410104
61040423320
7164320035
oct52661240
923118243
1011231904
116381772
123917b40
1324334c8
1416c538c
15ebce89
hexab62a0

11231904 has 48 divisors (see below), whose sum is σ = 29877120. Its totient is φ = 3694080.

The previous prime is 11231893. The next prime is 11231911. The reversal of 11231904 is 40913211.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6844 + ... + 8324.

It is an arithmetic number, because the mean of its divisors is an integer number (622440).

Almost surely, 211231904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11231904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938560).

11231904 is an abundant number, since it is smaller than the sum of its proper divisors (18645216).

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

11231904 is a wasteful number, since it uses less digits than its factorization.

11231904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 11231904 is about 3351.4032881765. The cubic root of 11231904 is about 223.9500313711.

The spelling of 11231904 in words is "eleven million, two hundred thirty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1481 1896 2528 2962 3792 4443 5924 7584 8886 11848 17772 23696 35544 47392 71088 116999 142176 233998 350997 467996 701994 935992 1403988 1871984 2807976 3743968 5615952 11231904