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20693568 = 263789173
BaseRepresentation
bin100111011110…
…0001001000000
31102221100020110
41032330021000
520244143233
62015311320
7340615050
oct116741100
942840213
1020693568
1110754425
126b1b540
13439701c
142a69560
151c3b663
hex13bc240

20693568 has 112 divisors (see below), whose sum is σ = 63642240. Its totient is φ = 5812224.

The previous prime is 20693551. The next prime is 20693591. The reversal of 20693568 is 86539602.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119530 + ... + 119702.

Almost surely, 220693568 is an apocalyptic number.

20693568 is a gapful number since it is divisible by the number (28) 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 20693568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31821120).

20693568 is an abundant number, since it is smaller than the sum of its proper divisors (42948672).

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

20693568 is a wasteful number, since it uses less digits than its factorization.

20693568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 20693568 is about 4549.0183556455. The cubic root of 20693568 is about 274.5438962849.

The spelling of 20693568 in words is "twenty million, six hundred ninety-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 89 96 112 168 173 178 192 224 267 336 346 356 448 519 534 623 672 692 712 1038 1068 1211 1246 1344 1384 1424 1869 2076 2136 2422 2492 2768 2848 3633 3738 4152 4272 4844 4984 5536 5696 7266 7476 8304 8544 9688 9968 11072 14532 14952 15397 16608 17088 19376 19936 29064 29904 30794 33216 38752 39872 46191 58128 59808 61588 77504 92382 107779 116256 119616 123176 184764 215558 232512 246352 323337 369528 431116 492704 646674 739056 862232 985408 1293348 1478112 1724464 2586696 2956224 3448928 5173392 6897856 10346784 20693568