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5295360 = 28357197
BaseRepresentation
bin10100001100110100000000
3100222000212110
4110030310000
52323422420
6305255320
763003240
oct24146400
910860773
105295360
112a97534
121934540
131135365
149bbb20
156e8ee0
hex50cd00

5295360 has 144 divisors (see below), whose sum is σ = 19426176. Its totient is φ = 1204224.

The previous prime is 5295343. The next prime is 5295373. The reversal of 5295360 is 635925.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 26782 + ... + 26978.

It is an arithmetic number, because the mean of its divisors is an integer number (134904).

Almost surely, 25295360 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 5295360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9713088).

5295360 is an abundant number, since it is smaller than the sum of its proper divisors (14130816).

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

5295360 is a wasteful number, since it uses less digits than its factorization.

5295360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 5295360 is about 2301.1649223817. The cubic root of 5295360 is about 174.3004453834.

The spelling of 5295360 in words is "five million, two hundred ninety-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 197 210 224 240 256 280 320 336 384 394 420 448 480 560 591 640 672 768 788 840 896 960 985 1120 1182 1280 1344 1379 1576 1680 1792 1920 1970 2240 2364 2688 2758 2955 3152 3360 3840 3940 4137 4480 4728 5376 5516 5910 6304 6720 6895 7880 8274 8960 9456 11032 11820 12608 13440 13790 15760 16548 18912 20685 22064 23640 25216 26880 27580 31520 33096 37824 41370 44128 47280 50432 55160 63040 66192 75648 82740 88256 94560 110320 126080 132384 151296 165480 176512 189120 220640 252160 264768 330960 353024 378240 441280 529536 661920 756480 882560 1059072 1323840 1765120 2647680 5295360