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5088720 = 2435713233
BaseRepresentation
bin10011011010010111010000
3100120112102010
4103122113100
52300314340
6301022520
761152630
oct23322720
910515363
105088720
11296625a
121854a40
1310922a0
149666c0
156a7b80
hex4da5d0

5088720 has 160 divisors (see below), whose sum is σ = 19498752. Its totient is φ = 1069056.

The previous prime is 5088709. The next prime is 5088731. The reversal of 5088720 is 278805.

It is an interprime number because it is at equal distance from previous prime (5088709) and next prime (5088731).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 233 × 105 × 208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21724 + ... + 21956.

Almost surely, 25088720 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 5088720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9749376).

5088720 is an abundant number, since it is smaller than the sum of its proper divisors (14410032).

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

5088720 is a wasteful number, since it uses less digits than its factorization.

5088720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 5088720 is about 2255.8191416867. The cubic root of 5088720 is about 172.0030646651.

The spelling of 5088720 in words is "five million, eighty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 182 195 208 210 233 240 260 273 280 312 336 364 390 420 455 466 520 546 560 624 699 728 780 840 910 932 1040 1092 1165 1365 1398 1456 1560 1631 1680 1820 1864 2184 2330 2730 2796 3029 3120 3262 3495 3640 3728 4368 4660 4893 5460 5592 6058 6524 6990 7280 8155 9087 9320 9786 10920 11184 12116 13048 13980 15145 16310 18174 18640 19572 21203 21840 24232 24465 26096 27960 30290 32620 36348 39144 42406 45435 48464 48930 55920 60580 63609 65240 72696 78288 84812 90870 97860 106015 121160 127218 130480 145392 169624 181740 195720 212030 242320 254436 318045 339248 363480 391440 424060 508872 636090 726960 848120 1017744 1272180 1696240 2544360 5088720