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5268564 = 2234723101
BaseRepresentation
bin10100000110010001010100
3100220200010000
4110012101110
52322043224
6304531300
762532150
oct24062124
910820100
105268564
112a79394
121920b30
1311260c2
149b2060
156e10c9
hex506454

5268564 has 120 divisors (see below), whose sum is σ = 16587648. Its totient is φ = 1425600.

The previous prime is 5268551. The next prime is 5268577. The reversal of 5268564 is 4658625.

It is an interprime number because it is at equal distance from previous prime (5268551) and next prime (5268577).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52114 + ... + 52214.

Almost surely, 25268564 is an apocalyptic number.

5268564 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5268564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8293824).

5268564 is an abundant number, since it is smaller than the sum of its proper divisors (11319084).

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

5268564 is a wasteful number, since it uses less digits than its factorization.

5268564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 136 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 5268564 is about 2295.3352696284. The cubic root of 5268564 is about 174.0059451001.

It can be divided in two parts, 5268 and 564, that added together give a cube (5832 = 183).

The spelling of 5268564 in words is "five million, two hundred sixty-eight thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 81 84 92 101 108 126 138 161 162 189 202 207 252 276 303 322 324 378 404 414 483 567 606 621 644 707 756 828 909 966 1134 1212 1242 1414 1449 1818 1863 1932 2121 2268 2323 2484 2727 2828 2898 3636 3726 4242 4347 4646 5454 5796 6363 6969 7452 8181 8484 8694 9292 10908 12726 13041 13938 16261 16362 17388 19089 20907 25452 26082 27876 32522 32724 38178 41814 48783 52164 57267 62721 65044 76356 83628 97566 114534 125442 146349 188163 195132 229068 250884 292698 376326 439047 585396 752652 878094 1317141 1756188 2634282 5268564