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5813640 = 233357769
BaseRepresentation
bin10110001011010110001000
3101221100211000
4112023112020
52442014030
6324335000
7100262250
oct26132610
911840730
105813640
113310968
121b44460
131287231
14ab4960
1579c860
hex58b588

5813640 has 128 divisors (see below), whose sum is σ = 22176000. Its totient is φ = 1327104.

The previous prime is 5813627. The next prime is 5813663. The reversal of 5813640 is 463185.

5813640 is a `hidden beast` number, since 5 + 8 + 13 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7176 + ... + 7944.

It is an arithmetic number, because the mean of its divisors is an integer number (173250).

Almost surely, 25813640 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 5813640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11088000).

5813640 is an abundant number, since it is smaller than the sum of its proper divisors (16362360).

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

5813640 is a wasteful number, since it uses less digits than its factorization.

5813640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5813640 is about 2411.1491036433. The cubic root of 5813640 is about 179.8109125470.

The spelling of 5813640 in words is "five million, eight hundred thirteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 769 840 945 1080 1260 1512 1538 1890 2307 2520 3076 3780 3845 4614 5383 6152 6921 7560 7690 9228 10766 11535 13842 15380 16149 18456 20763 21532 23070 26915 27684 30760 32298 34605 41526 43064 46140 48447 53830 55368 64596 69210 80745 83052 92280 96894 103815 107660 129192 138420 145341 161490 166104 193788 207630 215320 242235 276840 290682 322980 387576 415260 484470 581364 645960 726705 830520 968940 1162728 1453410 1937880 2906820 5813640