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5996640 = 253513312
BaseRepresentation
bin10110111000000001100000
3102021122211210
4112320001200
53013343030
6332310120
7101653626
oct26700140
912248753
105996640
113426401
122012340
13131c610
14b21516
157d6bb0
hex5b8060

5996640 has 144 divisors (see below), whose sum is σ = 21019824. Its totient is φ = 1428480.

The previous prime is 5996633. The next prime is 5996657. The reversal of 5996640 is 466995.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an Ulam number.

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, 193425 + ... + 193455.

It is an arithmetic number, because the mean of its divisors is an integer number (145971).

Almost surely, 25996640 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 5996640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10509912).

5996640 is an abundant number, since it is smaller than the sum of its proper divisors (15023184).

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

5996640 is a wasteful number, since it uses less digits than its factorization.

5996640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 5996640 is about 2448.8037896083. The cubic root of 5996640 is about 181.6781333652.

It can be divided in two parts, 59966 and 40, that added together give a palindrome (60006).

The spelling of 5996640 in words is "five million, nine hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 31 32 39 40 48 52 60 62 65 78 80 93 96 104 120 124 130 155 156 160 186 195 208 240 248 260 310 312 372 390 403 416 465 480 496 520 620 624 744 780 806 930 961 992 1040 1209 1240 1248 1488 1560 1612 1860 1922 2015 2080 2418 2480 2883 2976 3120 3224 3720 3844 4030 4805 4836 4960 5766 6045 6240 6448 7440 7688 8060 9610 9672 11532 12090 12493 12896 14415 14880 15376 16120 19220 19344 23064 24180 24986 28830 30752 32240 37479 38440 38688 46128 48360 49972 57660 62465 64480 74958 76880 92256 96720 99944 115320 124930 149916 153760 187395 193440 199888 230640 249860 299832 374790 399776 461280 499720 599664 749580 999440 1199328 1499160 1998880 2998320 5996640