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11797136 = 2413431319
BaseRepresentation
bin101101000000…
…001010010000
3211012100121222
4231000022100
511010002021
61100504212
7202162661
oct55001220
924170558
1011797136
1167283aa
123b4b068
1325a0870
1417d1368
1510806ab
hexb40290

11797136 has 40 divisors (see below), whose sum is σ = 25206720. Its totient is φ = 5314176.

The previous prime is 11797073. The next prime is 11797139. The reversal of 11797136 is 63179711.

It is a junction number, because it is equal to n+sod(n) for n = 11797096 and 11797105.

It is not an unprimeable number, because it can be changed into a prime (11797139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8285 + ... + 9603.

It is an arithmetic number, because the mean of its divisors is an integer number (630168).

Almost surely, 211797136 is an apocalyptic number.

11797136 is a gapful number since it is divisible by the number (16) 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 11797136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12603360).

11797136 is an abundant number, since it is smaller than the sum of its proper divisors (13409584).

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

11797136 is a wasteful number, since it uses less digits than its factorization.

11797136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1377 counting only the distinct ones).

The product of its digits is 7938, while the sum is 35.

The square root of 11797136 is about 3434.6959108486. The cubic root of 11797136 is about 227.6453911032.

The spelling of 11797136 in words is "eleven million, seven hundred ninety-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 43 52 86 104 172 208 344 559 688 1118 1319 2236 2638 4472 5276 8944 10552 17147 21104 34294 56717 68588 113434 137176 226868 274352 453736 737321 907472 1474642 2949284 5898568 11797136