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5228160 = 27357389
BaseRepresentation
bin10011111100011010000000
3100211121200120
4103330122000
52314300120
6304020240
762303310
oct23743200
910747616
105228160
112a50aa3
121901680
1311108b2
149a1440
156d4140
hex4fc680

5228160 has 128 divisors (see below), whose sum is σ = 19094400. Its totient is φ = 1191936.

The previous prime is 5228159. The next prime is 5228161. The reversal of 5228160 is 618225.

It is an interprime number because it is at equal distance from previous prime (5228159) and next prime (5228161).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5228160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5228161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13246 + ... + 13634.

It is an arithmetic number, because the mean of its divisors is an integer number (149175).

Almost surely, 25228160 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 5228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9547200).

5228160 is an abundant number, since it is smaller than the sum of its proper divisors (13866240).

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

5228160 is a wasteful number, since it uses less digits than its factorization.

5228160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5228160 is about 2286.5170019049. The cubic root of 5228160 is about 173.5599927628.

The spelling of 5228160 in words is "five million, two hundred twenty-eight thousand, one 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 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 389 420 448 480 560 640 672 778 840 896 960 1120 1167 1344 1556 1680 1920 1945 2240 2334 2688 2723 3112 3360 3890 4480 4668 5446 5835 6224 6720 7780 8169 9336 10892 11670 12448 13440 13615 15560 16338 18672 21784 23340 24896 27230 31120 32676 37344 40845 43568 46680 49792 54460 62240 65352 74688 81690 87136 93360 108920 124480 130704 149376 163380 174272 186720 217840 248960 261408 326760 348544 373440 435680 522816 653520 746880 871360 1045632 1307040 1742720 2614080 5228160