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5296320 = 26335613
BaseRepresentation
bin10100001101000011000000
3100222002012000
4110031003000
52323440240
6305304000
763006111
oct24150300
910862160
105296320
112a98227
121935000
131135923
149bc208
156e9430
hex50d0c0

5296320 has 112 divisors (see below), whose sum is σ = 18714720. Its totient is φ = 1410048.

The previous prime is 5296309. The next prime is 5296321. The reversal of 5296320 is 236925.

5296320 is a `hidden beast` number, since 5 + 29 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5296321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8334 + ... + 8946.

Almost surely, 25296320 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 5296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9357360).

5296320 is an abundant number, since it is smaller than the sum of its proper divisors (13418400).

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

5296320 is a wasteful number, since it uses less digits than its factorization.

5296320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 5296320 is about 2301.3735029325. The cubic root of 5296320 is about 174.3109777688.

The spelling of 5296320 in words is "five million, two hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 613 720 864 960 1080 1226 1440 1728 1839 2160 2452 2880 3065 3678 4320 4904 5517 6130 7356 8640 9195 9808 11034 12260 14712 16551 18390 19616 22068 24520 27585 29424 33102 36780 39232 44136 49040 55170 58848 66204 73560 82755 88272 98080 110340 117696 132408 147120 165510 176544 196160 220680 264816 294240 331020 353088 441360 529632 588480 662040 882720 1059264 1324080 1765440 2648160 5296320