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11366864 = 2419139269
BaseRepresentation
bin101011010111…
…000111010000
3210101111101222
4223113013100
510402214424
61043344212
7165421355
oct53270720
923344358
1011366864
116464103
123982068
13247ca72
14171c62c
15ee7e5e
hexad71d0

11366864 has 40 divisors (see below), whose sum is σ = 23436000. Its totient is φ = 5325696.

The previous prime is 11366851. The next prime is 11366867. The reversal of 11366864 is 46866311.

11366864 = T107 + T108 + ... + T410.

11366864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11366867) 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, 42122 + ... + 42390.

It is an arithmetic number, because the mean of its divisors is an integer number (585900).

Almost surely, 211366864 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 11366864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11718000).

11366864 is an abundant number, since it is smaller than the sum of its proper divisors (12069136).

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

11366864 is a wasteful number, since it uses less digits than its factorization.

11366864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 429 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The square root of 11366864 is about 3371.4780141653. The cubic root of 11366864 is about 224.8434400586.

It can be divided in two parts, 1136 and 6864, that added together give a cube (8000 = 203).

The spelling of 11366864 in words is "eleven million, three hundred sixty-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 19 38 76 139 152 269 278 304 538 556 1076 1112 2152 2224 2641 4304 5111 5282 10222 10564 20444 21128 37391 40888 42256 74782 81776 149564 299128 598256 710429 1420858 2841716 5683432 11366864