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11368152 = 2332413851
BaseRepresentation
bin101011010111…
…011011011000
3210101120011200
4223113123120
510402240102
61043354200
7165425205
oct53273330
923346150
1011368152
116465074
123982960
132480523
14171ccac
15ee851c
hexad76d8

11368152 has 48 divisors (see below), whose sum is σ = 31547880. Its totient is φ = 3696000.

The previous prime is 11368081. The next prime is 11368153. The reversal of 11368152 is 25186311.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11368153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1027 + ... + 4877.

Almost surely, 211368152 is an apocalyptic number.

11368152 is a gapful number since it is divisible by the number (12) 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 11368152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15773940).

11368152 is an abundant number, since it is smaller than the sum of its proper divisors (20179728).

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

11368152 is a wasteful number, since it uses less digits than its factorization.

11368152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3904 (or 3897 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 11368152 is about 3371.6690229025. The cubic root of 11368152 is about 224.8519322107.

It can be divided in two parts, 113 and 68152, that added together give a triangular number (68265 = T369).

The spelling of 11368152 in words is "eleven million, three hundred sixty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 3851 7702 11553 15404 23106 30808 34659 46212 69318 92424 138636 157891 277272 315782 473673 631564 947346 1263128 1421019 1894692 2842038 3789384 5684076 11368152