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5327868 = 22372131741
BaseRepresentation
bin10100010100101111111100
3101000200110110
4110110233330
52330442433
6310110020
763200100
oct24245774
911020413
105327868
1130099a7
12194b310
1311470b0
149c9900
15703963
hex514bfc

5327868 has 144 divisors (see below), whose sum is σ = 16892064. Its totient is φ = 1290240.

The previous prime is 5327863. The next prime is 5327869. The reversal of 5327868 is 8687235.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5327863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129928 + ... + 129968.

It is an arithmetic number, because the mean of its divisors is an integer number (117306).

Almost surely, 25327868 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 5327868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8446032).

5327868 is an abundant number, since it is smaller than the sum of its proper divisors (11564196).

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

5327868 is a wasteful number, since it uses less digits than its factorization.

5327868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 83 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 5327868 is about 2308.2174940850. The cubic root of 5327868 is about 174.6563924445.

The spelling of 5327868 in words is "five million, three hundred twenty-seven thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 17 21 26 28 34 39 41 42 49 51 52 68 78 82 84 91 98 102 119 123 147 156 164 182 196 204 221 238 246 273 287 294 357 364 442 476 492 533 546 574 588 637 663 697 714 833 861 884 1066 1092 1148 1274 1326 1394 1428 1547 1599 1666 1722 1911 2009 2091 2132 2499 2548 2652 2788 3094 3198 3332 3444 3731 3822 4018 4182 4641 4879 4998 6027 6188 6396 7462 7644 8036 8364 9061 9282 9758 9996 10829 11193 12054 14637 14924 18122 18564 19516 21658 22386 24108 26117 27183 29274 32487 34153 36244 43316 44772 52234 54366 58548 63427 64974 68306 78351 102459 104468 108732 126854 129948 136612 156702 190281 204918 253708 313404 380562 409836 443989 761124 887978 1331967 1775956 2663934 5327868