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5660160 = 29351167
BaseRepresentation
bin10101100101111000000000
3101122120021120
4111211320000
52422111120
6321152240
766052632
oct25457000
911576246
105660160
113216620
121a8b680
13123240c
14a74a52
1576c140
hex565e00

5660160 has 160 divisors (see below), whose sum is σ = 20034432. Its totient is φ = 1351680.

The previous prime is 5660153. The next prime is 5660177. The reversal of 5660160 is 610665.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×56601602 = 64074822451200, which contains 22 as substring.

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 5660160.

It is a congruent number.

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, 84447 + ... + 84513.

Almost surely, 25660160 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 5660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10017216).

5660160 is an abundant number, since it is smaller than the sum of its proper divisors (14374272).

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

5660160 is a wasteful number, since it uses less digits than its factorization.

5660160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 5660160 is about 2379.1090769446. The cubic root of 5660160 is about 178.2144450748.

The spelling of 5660160 in words is "five million, six hundred sixty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 67 80 88 96 110 120 128 132 134 160 165 176 192 201 220 240 256 264 268 320 330 335 352 384 402 440 480 512 528 536 640 660 670 704 737 768 804 880 960 1005 1056 1072 1280 1320 1340 1408 1474 1536 1608 1760 1920 2010 2112 2144 2211 2560 2640 2680 2816 2948 3216 3520 3685 3840 4020 4224 4288 4422 5280 5360 5632 5896 6432 7040 7370 7680 8040 8448 8576 8844 10560 10720 11055 11792 12864 14080 14740 16080 16896 17152 17688 21120 21440 22110 23584 25728 28160 29480 32160 34304 35376 42240 42880 44220 47168 51456 58960 64320 70752 84480 85760 88440 94336 102912 117920 128640 141504 171520 176880 188672 235840 257280 283008 353760 377344 471680 514560 566016 707520 943360 1132032 1415040 1886720 2830080 5660160