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5995440 = 2432511757
BaseRepresentation
bin10110110111101110110000
3102021121012100
4112313232300
53013323230
6332300400
7101650263
oct26675660
912247170
105995440
113425510
122011700
13131bbc9
14b20cda
157d6660
hex5b7bb0

5995440 has 120 divisors (see below), whose sum is σ = 21994128. Its totient is φ = 1451520.

The previous prime is 5995439. The next prime is 5995481. The reversal of 5995440 is 445995.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5995395 and 5995404.

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, 7542 + ... + 8298.

Almost surely, 25995440 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 5995440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10997064).

5995440 is an abundant number, since it is smaller than the sum of its proper divisors (15998688).

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

5995440 is a wasteful number, since it uses less digits than its factorization.

5995440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5995440 is about 2448.5587597605. The cubic root of 5995440 is about 181.6660138947. Note that the first 3 decimals are identical.

The spelling of 5995440 in words is "five million, nine hundred ninety-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 757 792 880 990 1320 1514 1584 1980 2271 2640 3028 3785 3960 4542 6056 6813 7570 7920 8327 9084 11355 12112 13626 15140 16654 18168 22710 24981 27252 30280 33308 34065 36336 41635 45420 49962 54504 60560 66616 68130 74943 83270 90840 99924 109008 124905 133232 136260 149886 166540 181680 199848 249810 272520 299772 333080 374715 399696 499620 545040 599544 666160 749430 999240 1199088 1498860 1998480 2997720 5995440