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5990688 = 2532113161
BaseRepresentation
bin10110110110100100100000
3102021100200100
4112312210200
53013200223
6332222400
7101630364
oct26664440
912240610
105990688
113421990
12200aa00
1313199b2
14b1d2a4
157d5043
hex5b6920

5990688 has 144 divisors (see below), whose sum is σ = 19498752. Its totient is φ = 1728000.

The previous prime is 5990687. The next prime is 5990693. The reversal of 5990688 is 8860995.

It is a tau number, because it is divible by the number of its divisors (144).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5990687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98178 + ... + 98238.

It is an arithmetic number, because the mean of its divisors is an integer number (135408).

Almost surely, 25990688 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 5990688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9749376).

5990688 is an abundant number, since it is smaller than the sum of its proper divisors (13508064).

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

5990688 is a wasteful number, since it uses less digits than its factorization.

5990688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 5990688 is about 2447.5882006579. The cubic root of 5990688 is about 181.6180049036.

It can be divided in two parts, 599068 and 8, that added together give a square (599076 = 7742).

The spelling of 5990688 in words is "five million, nine hundred ninety thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 32 33 36 44 48 61 62 66 72 88 93 96 99 122 124 132 144 176 183 186 198 244 248 264 279 288 341 352 366 372 396 488 496 528 549 558 671 682 732 744 792 976 992 1023 1056 1098 1116 1342 1364 1464 1488 1584 1891 1952 2013 2046 2196 2232 2684 2728 2928 2976 3069 3168 3782 4026 4092 4392 4464 5368 5456 5673 5856 6039 6138 7564 8052 8184 8784 8928 10736 10912 11346 12078 12276 15128 16104 16368 17019 17568 20801 21472 22692 24156 24552 30256 32208 32736 34038 41602 45384 48312 49104 60512 62403 64416 68076 83204 90768 96624 98208 124806 136152 166408 181536 187209 193248 249612 272304 332816 374418 499224 544608 665632 748836 998448 1497672 1996896 2995344 5990688