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11286036 = 2232372229
BaseRepresentation
bin101011000011…
…011000010100
3210020101112100
4223003120110
510342123121
61041522100
7164633616
oct53033024
923211470
1011286036
116409403
123943330
132452038
1416dadb6
15ece026
hexac3614

11286036 has 54 divisors (see below), whose sum is σ = 29448510. Its totient is φ = 3644352.

The previous prime is 11286013. The next prime is 11286059. The reversal of 11286036 is 63068211.

It is an interprime number because it is at equal distance from previous prime (11286013) and next prime (11286059).

It can be written as a sum of positive squares in 3 ways, for example, as 9036036 + 2250000 = 3006^2 + 1500^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 49170 + ... + 49398.

Almost surely, 211286036 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 11286036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14724255).

11286036 is an abundant number, since it is smaller than the sum of its proper divisors (18162474).

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

11286036 is a wasteful number, since it uses less digits than its factorization.

11286036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 11286036 is about 3359.4696009936. The cubic root of 11286036 is about 224.3092295906.

It can be divided in two parts, 112860 and 36, that added together give a square (112896 = 3362).

The spelling of 11286036 in words is "eleven million, two hundred eighty-six thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 229 333 444 458 666 687 916 1332 1369 1374 2061 2738 2748 4107 4122 5476 8214 8244 8473 12321 16428 16946 24642 25419 33892 49284 50838 76257 101676 152514 305028 313501 627002 940503 1254004 1881006 2821509 3762012 5643018 11286036