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720872080 = 245175373137
BaseRepresentation
bin101010111101111…
…010001010010000
31212020110002120221
4222331322022100
52434020401310
6155310442424
723602211605
oct5275721220
91766402527
10720872080
1133aa05955
12181503414
13b6469736
146ba4c6ac
1543446ada
hex2af7a290

720872080 has 160 divisors (see below), whose sum is σ = 1846247904. Its totient is φ = 260702208.

The previous prime is 720872069. The next prime is 720872093. The reversal of 720872080 is 80278027.

720872080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 10969344 + 709902736 = 3312^2 + 26644^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5261772 + ... + 5261908.

Almost surely, 2720872080 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 720872080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923123952).

720872080 is an abundant number, since it is smaller than the sum of its proper divisors (1125375824).

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

720872080 is a wasteful number, since it uses less digits than its factorization.

720872080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 720872080 is about 26849.0610636573. The cubic root of 720872080 is about 896.6426684444.

The spelling of 720872080 in words is "seven hundred twenty million, eight hundred seventy-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 53 68 73 80 85 106 136 137 146 170 212 265 272 274 292 340 365 424 530 548 584 680 685 730 848 901 1060 1096 1168 1241 1360 1370 1460 1802 2120 2192 2329 2482 2740 2920 3604 3869 4240 4505 4658 4964 5480 5840 6205 7208 7261 7738 9010 9316 9928 10001 10960 11645 12410 14416 14522 15476 18020 18632 19345 19856 20002 23290 24820 29044 30952 36040 36305 37264 38690 40004 46580 49640 50005 58088 61904 65773 72080 72610 77380 80008 93160 99280 100010 116176 123437 131546 145220 154760 160016 170017 186320 200020 246874 263092 290440 309520 328865 340034 400040 493748 526184 530053 580880 617185 657730 680068 800080 850085 987496 1052368 1060106 1234370 1315460 1360136 1700170 1974992 2120212 2468740 2630920 2650265 2720272 3400340 4240424 4937480 5261840 5300530 6800680 8480848 9010901 9874960 10601060 13601360 18021802 21202120 36043604 42404240 45054505 72087208 90109010 144174416 180218020 360436040 720872080