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11357112 = 2331389409
BaseRepresentation
bin101011010100…
…101110111000
3210101000000210
4223110232320
510401411422
61043231120
7165351054
oct53245670
923330023
1011357112
116457848
1239784a0
1324784b0
141718c64
15ee510c
hexad4bb8

11357112 has 64 divisors (see below), whose sum is σ = 30996000. Its totient is φ = 3446784.

The previous prime is 11357111. The next prime is 11357131. The reversal of 11357112 is 21175311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11357111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27564 + ... + 27972.

Almost surely, 211357112 is an apocalyptic number.

11357112 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 11357112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15498000).

11357112 is an abundant number, since it is smaller than the sum of its proper divisors (19638888).

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

11357112 is a wasteful number, since it uses less digits than its factorization.

11357112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 516 counting only the distinct ones).

The product of its digits is 210, while the sum is 21.

The square root of 11357112 is about 3370.0314538591. The cubic root of 11357112 is about 224.7791215101.

The spelling of 11357112 in words is "eleven million, three hundred fifty-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 89 104 156 178 267 312 356 409 534 712 818 1068 1157 1227 1636 2136 2314 2454 3272 3471 4628 4908 5317 6942 9256 9816 10634 13884 15951 21268 27768 31902 36401 42536 63804 72802 109203 127608 145604 218406 291208 436812 473213 873624 946426 1419639 1892852 2839278 3785704 5678556 11357112