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5867680 = 255713231
BaseRepresentation
bin10110011000100010100000
3102001002221111
4112120202200
53000231210
6325433104
7100605640
oct26304240
912032844
105867680
113348525
121b6b794
1312a5a00
14aca520
157ad88a
hex5988a0

5867680 has 144 divisors (see below), whose sum is σ = 17708544. Its totient is φ = 1797120.

The previous prime is 5867671. The next prime is 5867707. The reversal of 5867680 is 867685.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189265 + ... + 189295.

It is an arithmetic number, because the mean of its divisors is an integer number (122976).

Almost surely, 25867680 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 5867680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8854272).

5867680 is an abundant number, since it is smaller than the sum of its proper divisors (11840864).

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

5867680 is a wasteful number, since it uses less digits than its factorization.

5867680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 5867680 is about 2422.3294573612. The cubic root of 5867680 is about 180.3663321322.

The spelling of 5867680 in words is "five million, eight hundred sixty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 31 32 35 40 52 56 62 65 70 80 91 104 112 124 130 140 155 160 169 182 208 217 224 248 260 280 310 338 364 403 416 434 455 496 520 560 620 676 728 806 845 868 910 992 1040 1085 1120 1183 1240 1352 1456 1612 1690 1736 1820 2015 2080 2170 2366 2480 2704 2821 2912 3224 3380 3472 3640 4030 4340 4732 4960 5239 5408 5642 5915 6448 6760 6944 7280 8060 8680 9464 10478 11284 11830 12896 13520 14105 14560 16120 17360 18928 20956 22568 23660 26195 27040 28210 32240 34720 36673 37856 41912 45136 47320 52390 56420 64480 73346 83824 90272 94640 104780 112840 146692 167648 183365 189280 209560 225680 293384 366730 419120 451360 586768 733460 838240 1173536 1466920 2933840 5867680