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5991120 = 2432553157
BaseRepresentation
bin10110110110101011010000
3102021101021100
4112312223100
53013203440
6332224400
7101631552
oct26665320
912241240
105991120
113422243
12200b100
131319c55
14b1d4d2
157d5230
hex5b6ad0

5991120 has 120 divisors (see below), whose sum is σ = 20630376. Its totient is φ = 1557504.

The previous prime is 5991113. The next prime is 5991131. The reversal of 5991120 is 211995.

It is a happy number.

5991120 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 4 ways, for example, as 627264 + 5363856 = 792^2 + 2316^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38082 + ... + 38238.

Almost surely, 25991120 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 5991120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10315188).

5991120 is an abundant number, since it is smaller than the sum of its proper divisors (14639256).

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

5991120 is a wasteful number, since it uses less digits than its factorization.

5991120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 5991120 is about 2447.6764492065. The cubic root of 5991120 is about 181.6223704062.

The spelling of 5991120 in words is "five million, nine hundred ninety-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 53 60 72 80 90 106 120 144 157 159 180 212 240 265 314 318 360 424 471 477 530 628 636 720 785 795 848 942 954 1060 1256 1272 1413 1570 1590 1884 1908 2120 2355 2385 2512 2544 2826 3140 3180 3768 3816 4240 4710 4770 5652 6280 6360 7065 7536 7632 8321 9420 9540 11304 12560 12720 14130 16642 18840 19080 22608 24963 28260 33284 37680 38160 41605 49926 56520 66568 74889 83210 99852 113040 124815 133136 149778 166420 199704 249630 299556 332840 374445 399408 499260 599112 665680 748890 998520 1198224 1497780 1997040 2995560 5991120