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11397904 = 247149683
BaseRepresentation
bin101011011110…
…101100010000
3210110001222121
4223132230100
510404213104
61044144024
7165611020
oct53365420
923401877
1011397904
116485461
123998014
132490c2b
141729a80
151002254
hexadeb10

11397904 has 40 divisors (see below), whose sum is σ = 25444800. Its totient is φ = 4844928.

The previous prime is 11397833. The next prime is 11397907. The reversal of 11397904 is 40979311.

11397904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11397904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11397907) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16347 + ... + 17029.

It is an arithmetic number, because the mean of its divisors is an integer number (636120).

Almost surely, 211397904 is an apocalyptic number.

11397904 is a gapful number since it is divisible by the number (14) 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 11397904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12722400).

11397904 is an abundant number, since it is smaller than the sum of its proper divisors (14046896).

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

11397904 is a wasteful number, since it uses less digits than its factorization.

11397904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 11397904 is about 3376.0781981465. The cubic root of 11397904 is about 225.0479173665.

The spelling of 11397904 in words is "eleven million, three hundred ninety-seven thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 149 298 596 683 1043 1192 1366 2086 2384 2732 4172 4781 5464 8344 9562 10928 16688 19124 38248 76496 101767 203534 407068 712369 814136 1424738 1628272 2849476 5698952 11397904