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11379808 = 251122939
BaseRepresentation
bin101011011010…
…010001100000
3210102011011101
4223122101200
510403123213
61043524144
7165504166
oct53322140
923364141
1011379808
116472900
123989654
13248591b
141723236
15eebbdd
hexada460

11379808 has 36 divisors (see below), whose sum is σ = 24634260. Its totient is φ = 5170880.

The previous prime is 11379799. The next prime is 11379811. The reversal of 11379808 is 80897311.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2403 + ... + 5341.

It is an arithmetic number, because the mean of its divisors is an integer number (684285).

Almost surely, 211379808 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 11379808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12317130).

11379808 is an abundant number, since it is smaller than the sum of its proper divisors (13254452).

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

11379808 is a wasteful number, since it uses less digits than its factorization.

11379808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971 (or 2952 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 37.

The square root of 11379808 is about 3373.3971008466. The cubic root of 11379808 is about 224.9287543974.

The spelling of 11379808 in words is "eleven million, three hundred seventy-nine thousand, eight hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 2939 3872 5878 11756 23512 32329 47024 64658 94048 129316 258632 355619 517264 711238 1034528 1422476 2844952 5689904 11379808