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5801664 = 263114167
BaseRepresentation
bin10110001000011011000000
3101220202101110
4112020123000
52441123124
6324203320
7100212321
oct26103300
911822343
105801664
113302970
121b39540
13128194b
14ab0448
15799029
hex5886c0

5801664 has 112 divisors (see below), whose sum is σ = 17410176. Its totient is φ = 1689600.

The previous prime is 5801657. The next prime is 5801671. The reversal of 5801664 is 4661085.

It is an interprime number because it is at equal distance from previous prime (5801657) and next prime (5801671).

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, 86559 + ... + 86625.

It is an arithmetic number, because the mean of its divisors is an integer number (155448).

Almost surely, 25801664 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 5801664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8705088).

5801664 is an abundant number, since it is smaller than the sum of its proper divisors (11608512).

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

5801664 is a wasteful number, since it uses less digits than its factorization.

5801664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 5801664 is about 2408.6643601797. The cubic root of 5801664 is about 179.6873585229.

The spelling of 5801664 in words is "five million, eight hundred one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 64 66 67 82 88 96 123 132 134 164 176 192 201 246 264 268 328 352 402 451 492 528 536 656 704 737 804 902 984 1056 1072 1312 1353 1474 1608 1804 1968 2112 2144 2211 2624 2706 2747 2948 3216 3608 3936 4288 4422 5412 5494 5896 6432 7216 7872 8241 8844 10824 10988 11792 12864 14432 16482 17688 21648 21976 23584 28864 30217 32964 35376 43296 43952 47168 60434 65928 70752 86592 87904 90651 120868 131856 141504 175808 181302 241736 263712 362604 483472 527424 725208 966944 1450416 1933888 2900832 5801664