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5640264 = 2332719231
BaseRepresentation
bin10101100001000001001000
3101121112222200
4111201001020
52420442024
6320520200
765640630
oct25410110
911545880
105640264
113202683
121a80060
131226346
14a6b6c0
157662c9
hex561048

5640264 has 144 divisors (see below), whose sum is σ = 19019520. Its totient is φ = 1477440.

The previous prime is 5640253. The next prime is 5640281. The reversal of 5640264 is 4620465.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 181929 + ... + 181959.

It is an arithmetic number, because the mean of its divisors is an integer number (132080).

Almost surely, 25640264 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 5640264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9509760).

5640264 is an abundant number, since it is smaller than the sum of its proper divisors (13379256).

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

5640264 is a wasteful number, since it uses less digits than its factorization.

5640264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5640264 is about 2374.9239987840. The cubic root of 5640264 is about 178.0053863623.

The spelling of 5640264 in words is "five million, six hundred forty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 31 36 38 42 56 57 62 63 72 76 84 93 114 124 126 133 152 168 171 186 217 228 248 252 266 279 342 361 372 399 434 456 504 532 558 589 651 684 722 744 798 868 1064 1083 1116 1178 1197 1302 1368 1444 1596 1736 1767 1953 2166 2232 2356 2394 2527 2604 2888 3192 3249 3534 3906 4123 4332 4712 4788 5054 5208 5301 6498 7068 7581 7812 8246 8664 9576 10108 10602 11191 12369 12996 14136 15162 15624 16492 20216 21204 22382 22743 24738 25992 30324 32984 33573 37107 42408 44764 45486 49476 60648 67146 74214 78337 89528 90972 98952 100719 134292 148428 156674 181944 201438 235011 268584 296856 313348 402876 470022 626696 705033 805752 940044 1410066 1880088 2820132 5640264