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5676160 = 27572181
BaseRepresentation
bin10101101001110010000000
3101200101020011
4111221302000
52423114120
6321354304
766150400
oct25516200
911611204
105676160
113227646
121a98994
131239799
14a7a800
15771c5a
hex569c80

5676160 has 96 divisors (see below), whose sum is σ = 15872220. Its totient is φ = 1935360.

The previous prime is 5676157. The next prime is 5676179. The reversal of 5676160 is 616765.

It can be written as a sum of positive squares in 2 ways, for example, as 4769856 + 906304 = 2184^2 + 952^2 .

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, 31270 + ... + 31450.

Almost surely, 25676160 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 5676160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7936110).

5676160 is an abundant number, since it is smaller than the sum of its proper divisors (10196060).

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

5676160 is a wasteful number, since it uses less digits than its factorization.

5676160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 5676160 is about 2382.4693072525. The cubic root of 5676160 is about 178.3822111537.

The spelling of 5676160 in words is "five million, six hundred seventy-six thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 181 196 224 245 280 320 362 392 448 490 560 640 724 784 896 905 980 1120 1267 1448 1568 1810 1960 2240 2534 2896 3136 3620 3920 4480 5068 5792 6272 6335 7240 7840 8869 10136 11584 12670 14480 15680 17738 20272 23168 25340 28960 31360 35476 40544 44345 50680 57920 70952 81088 88690 101360 115840 141904 162176 177380 202720 283808 354760 405440 567616 709520 810880 1135232 1419040 2838080 5676160