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3068160 = 28351747
BaseRepresentation
bin1011101101000100000000
312202212201120
423231010000
51241140120
6145432240
735036034
oct13550400
95685646
103068160
111806177
12103b680
138356a4
1459c1c4
15409140
hex2ed100

3068160 has 144 divisors (see below), whose sum is σ = 10596096. Its totient is φ = 753664.

The previous prime is 3068159. The next prime is 3068161. The reversal of 3068160 is 618603.

It is an interprime number because it is at equal distance from previous prime (3068159) and next prime (3068161).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3068160.

It is not an unprimeable number, because it can be changed into a prime (3068161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65257 + ... + 65303.

It is an arithmetic number, because the mean of its divisors is an integer number (73584).

Almost surely, 23068160 is an apocalyptic number.

3068160 is a gapful number since it is divisible by the number (30) 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 3068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298048).

3068160 is an abundant number, since it is smaller than the sum of its proper divisors (7527936).

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

3068160 is a wasteful number, since it uses less digits than its factorization.

3068160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3068160 is about 1751.6163963608. The cubic root of 3068160 is about 145.3090514848.

The spelling of 3068160 in words is "three million, sixty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 47 48 51 60 64 68 80 85 94 96 102 120 128 136 141 160 170 188 192 204 235 240 255 256 272 282 320 340 376 384 408 470 480 510 544 564 640 680 705 752 768 799 816 940 960 1020 1088 1128 1280 1360 1410 1504 1598 1632 1880 1920 2040 2176 2256 2397 2720 2820 3008 3196 3264 3760 3840 3995 4080 4352 4512 4794 5440 5640 6016 6392 6528 7520 7990 8160 9024 9588 10880 11280 11985 12032 12784 13056 15040 15980 16320 18048 19176 21760 22560 23970 25568 30080 31960 32640 36096 38352 45120 47940 51136 60160 63920 65280 76704 90240 95880 102272 127840 153408 180480 191760 204544 255680 306816 383520 511360 613632 767040 1022720 1534080 3068160