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5254560 = 253254189
BaseRepresentation
bin10100000010110110100000
3100212221220100
4110002312200
52321121220
6304342400
762443263
oct24026640
910787810
105254560
112a69913
121914a00
13111c90c
149aacda
156dbd90
hex502da0

5254560 has 144 divisors (see below), whose sum is σ = 18574920. Its totient is φ = 1351680.

The previous prime is 5254559. The next prime is 5254567. The reversal of 5254560 is 654525.

5254560 is a `hidden beast` number, since 52 + 54 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1971216 + 3283344 = 1404^2 + 1812^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×52545602 = 55220801587200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5254567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58996 + ... + 59084.

Almost surely, 25254560 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 5254560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9287460).

5254560 is an abundant number, since it is smaller than the sum of its proper divisors (13320360).

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

5254560 is a wasteful number, since it uses less digits than its factorization.

5254560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 5254560 is about 2292.2827050781. The cubic root of 5254560 is about 173.8516373064.

The spelling of 5254560 in words is "five million, two hundred fifty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 41 45 48 60 72 80 82 89 90 96 120 123 144 160 164 178 180 205 240 246 267 288 328 356 360 369 410 445 480 492 534 615 656 712 720 738 801 820 890 984 1068 1230 1312 1335 1424 1440 1476 1602 1640 1780 1845 1968 2136 2460 2670 2848 2952 3204 3280 3560 3649 3690 3936 4005 4272 4920 5340 5904 6408 6560 7120 7298 7380 8010 8544 9840 10680 10947 11808 12816 14240 14596 14760 16020 18245 19680 21360 21894 25632 29192 29520 32040 32841 36490 42720 43788 54735 58384 59040 64080 65682 72980 87576 109470 116768 128160 131364 145960 164205 175152 218940 262728 291920 328410 350304 437880 525456 583840 656820 875760 1050912 1313640 1751520 2627280 5254560