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11147916 = 22313223239
BaseRepresentation
bin101010100001…
…101010001100
3202222101001210
4222201222030
510323213131
61034534420
7163520133
oct52415214
922871053
1011147916
11632465a
123897410
132404200
1416a291a
15ea3146
hexaa1a8c

11147916 has 72 divisors (see below), whose sum is σ = 29514240. Its totient is φ = 3267264.

The previous prime is 11147911. The next prime is 11147921. The reversal of 11147916 is 61974111.

It is an interprime number because it is at equal distance from previous prime (11147911) and next prime (11147921).

It is a super-2 number, since 2×111479162 = 248552062286112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11147911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46525 + ... + 46763.

It is an arithmetic number, because the mean of its divisors is an integer number (409920).

Almost surely, 211147916 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 11147916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14757120).

11147916 is an abundant number, since it is smaller than the sum of its proper divisors (18366324).

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

11147916 is a wasteful number, since it uses less digits than its factorization.

11147916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 280 counting only the distinct ones).

The product of its digits is 1512, while the sum is 30.

The square root of 11147916 is about 3338.8495024484. The cubic root of 11147916 is about 223.3904292029.

The spelling of 11147916 in words is "eleven million, one hundred forty-seven thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 169 239 276 299 338 478 507 598 676 717 897 956 1014 1196 1434 1794 2028 2868 3107 3588 3887 5497 6214 7774 9321 10994 11661 12428 15548 16491 18642 21988 23322 32982 37284 40391 46644 65964 71461 80782 121173 142922 161564 214383 242346 285844 428766 484692 857532 928993 1857986 2786979 3715972 5573958 11147916