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5360256 = 27341147
BaseRepresentation
bin10100011100101010000000
3101002022220000
4110130222000
52333012011
6310520000
763363366
oct24345200
911068800
105360256
113031270
121966000
131158a65
149d7636
1570d356
hex51ca80

5360256 has 160 divisors (see below), whose sum is σ = 17772480. Its totient is φ = 1589760.

The previous prime is 5360239. The next prime is 5360263. The reversal of 5360256 is 6520635.

5360256 is a `hidden beast` number, since 5 + 3 + 602 + 56 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 114025 + ... + 114071.

It is an arithmetic number, because the mean of its divisors is an integer number (111078).

Almost surely, 25360256 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 5360256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8886240).

5360256 is an abundant number, since it is smaller than the sum of its proper divisors (12412224).

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

5360256 is a wasteful number, since it uses less digits than its factorization.

5360256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 5360256 is about 2315.2226674771. Note that the first 3 decimals coincide. The cubic root of 5360256 is about 175.0095885903.

The spelling of 5360256 in words is "five million, three hundred sixty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 47 48 54 64 66 72 81 88 94 96 99 108 128 132 141 144 162 176 188 192 198 216 264 282 288 297 324 352 376 384 396 423 432 517 528 564 576 594 648 704 752 792 846 864 891 1034 1056 1128 1152 1188 1269 1296 1408 1504 1551 1584 1692 1728 1782 2068 2112 2256 2376 2538 2592 3008 3102 3168 3384 3456 3564 3807 4136 4224 4512 4653 4752 5076 5184 6016 6204 6336 6768 7128 7614 8272 9024 9306 9504 10152 10368 12408 12672 13536 13959 14256 15228 16544 18048 18612 19008 20304 24816 27072 27918 28512 30456 33088 37224 38016 40608 41877 49632 54144 55836 57024 60912 66176 74448 81216 83754 99264 111672 114048 121824 148896 162432 167508 198528 223344 243648 297792 335016 446688 487296 595584 670032 893376 1340064 1786752 2680128 5360256