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5863680 = 28325509
BaseRepresentation
bin10110010111100100000000
3102000220110100
4112113210000
53000114210
6325402400
7100561164
oct26274400
912026410
105863680
113345519
121b69400
1312a3c44
14ac8ca4
157ac5c0
hex597900

5863680 has 108 divisors (see below), whose sum is σ = 20327580. Its totient is φ = 1560576.

The previous prime is 5863679. The next prime is 5863699. The reversal of 5863680 is 863685.

It can be written as a sum of positive squares in 2 ways, for example, as 3504384 + 2359296 = 1872^2 + 1536^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11266 + ... + 11774.

Almost surely, 25863680 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 5863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10163790).

5863680 is an abundant number, since it is smaller than the sum of its proper divisors (14463900).

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

5863680 is a wasteful number, since it uses less digits than its factorization.

5863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5863680 is about 2421.5036650809. The cubic root of 5863680 is about 180.3253375465.

The spelling of 5863680 in words is "five million, eight hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 509 576 640 720 768 960 1018 1152 1280 1440 1527 1920 2036 2304 2545 2880 3054 3840 4072 4581 5090 5760 6108 7635 8144 9162 10180 11520 12216 15270 16288 18324 20360 22905 24432 30540 32576 36648 40720 45810 48864 61080 65152 73296 81440 91620 97728 122160 130304 146592 162880 183240 195456 244320 293184 325760 366480 390912 488640 586368 651520 732960 977280 1172736 1465920 1954560 2931840 5863680