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11897688 = 23311217241
BaseRepresentation
bin101101011000…
…101101011000
3211101110120010
4231120231120
511021211223
61103001520
7203062065
oct55305530
924343503
1011897688
116796a00
123b992a0
13260756a
141819c6c
1510a0393
hexb58b58

11897688 has 96 divisors (see below), whose sum is σ = 34760880. Its totient is φ = 3379200.

The previous prime is 11897687. The next prime is 11897701. The reversal of 11897688 is 88679811.

11897688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11897681) 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, 49248 + ... + 49488.

Almost surely, 211897688 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 11897688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17380440).

11897688 is an abundant number, since it is smaller than the sum of its proper divisors (22863192).

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

11897688 is a wasteful number, since it uses less digits than its factorization.

11897688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 274 counting only the distinct ones).

The product of its digits is 193536, while the sum is 48.

The square root of 11897688 is about 3449.3025381952. The cubic root of 11897688 is about 228.2903349631.

The spelling of 11897688 in words is "eleven million, eight hundred ninety-seven thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 121 132 136 187 204 241 242 264 363 374 408 482 484 561 723 726 748 964 968 1122 1446 1452 1496 1928 2057 2244 2651 2892 2904 4097 4114 4488 5302 5784 6171 7953 8194 8228 10604 12291 12342 15906 16388 16456 21208 24582 24684 29161 31812 32776 45067 49164 49368 58322 63624 87483 90134 98328 116644 135201 174966 180268 233288 270402 349932 360536 495737 540804 699864 991474 1081608 1487211 1982948 2974422 3965896 5948844 11897688