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720052256 = 257211109383
BaseRepresentation
bin101010111010110…
…010000000100000
31212011220110000002
4222322302000200
52433313133011
6155241115132
723562225500
oct5272620040
91764813002
10720052256
1133a4a5a10
12181188aa8
13b6240531
146b8b7a00
1543333c3b
hex2aeb2020

720052256 has 144 divisors (see below), whose sum is σ = 1820206080. Its totient is φ = 277240320.

The previous prime is 720052241. The next prime is 720052261. The reversal of 720052256 is 652250027.

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 23 ways as a sum of consecutive naturals, for example, 1879841 + ... + 1880223.

It is an arithmetic number, because the mean of its divisors is an integer number (12640320).

Almost surely, 2720052256 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 720052256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910103040).

720052256 is an abundant number, since it is smaller than the sum of its proper divisors (1100153824).

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

720052256 is a wasteful number, since it uses less digits than its factorization.

720052256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 720052256 is about 26833.7894453989. The cubic root of 720052256 is about 896.3026321467.

The spelling of 720052256 in words is "seven hundred twenty million, fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 109 112 154 176 196 218 224 308 352 383 392 436 539 616 763 766 784 872 1078 1199 1232 1526 1532 1568 1744 2156 2398 2464 2681 3052 3064 3488 4213 4312 4796 5341 5362 6104 6128 8393 8426 8624 9592 10682 10724 12208 12256 16786 16852 17248 18767 19184 21364 21448 24416 29491 33572 33704 37534 38368 41747 42728 42896 58751 58982 67144 67408 75068 83494 85456 85792 117502 117964 134288 134816 150136 166988 170912 206437 235004 235928 268576 292229 300272 333976 412874 459217 470008 471856 584458 600544 667952 825748 918434 940016 943712 1168916 1335904 1651496 1836868 1880032 2045603 2337832 3214519 3302992 3673736 4091206 4675664 6429038 6605984 7347472 8182412 9351328 12858076 14694944 16364824 22501633 25716152 32729648 45003266 51432304 65459296 90006532 102864608 180013064 360026128 720052256