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720220116 = 2237111097151
BaseRepresentation
bin101010111011011…
…010111111010100
31212012012222021010
4222323122333110
52433334020431
6155244452220
723563525050
oct5273327724
91765188233
10720220116
1133a600040
1218124a070
13b629ba65
146b91cc60
1543368846
hex2aedafd4

720220116 has 96 divisors (see below), whose sum is σ = 2114703360. Its totient is φ = 185328000.

The previous prime is 720220093. The next prime is 720220157. The reversal of 720220116 is 611022027.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 720220092 and 720220101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97141 + ... + 104291.

It is an arithmetic number, because the mean of its divisors is an integer number (22028160).

Almost surely, 2720220116 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 720220116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057351680).

720220116 is an abundant number, since it is smaller than the sum of its proper divisors (1394483244).

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

720220116 is a wasteful number, since it uses less digits than its factorization.

720220116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7285 (or 7283 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 720220116 is about 26836.9170360532. The cubic root of 720220116 is about 896.3722760134.

The spelling of 720220116 in words is "seven hundred twenty million, two hundred twenty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 109 132 154 218 231 308 327 436 462 654 763 924 1199 1308 1526 2289 2398 3052 3597 4578 4796 7151 7194 8393 9156 14302 14388 16786 21453 25179 28604 33572 42906 50057 50358 78661 85812 100114 100716 150171 157322 200228 235983 300342 314644 471966 550627 600684 779459 943932 1101254 1558918 1651881 2202508 2338377 3117836 3303762 4676754 5456213 6607524 8574049 9353508 10912426 16368639 17148098 21824852 25722147 32737278 34296196 51444294 60018343 65474556 102888588 120036686 180055029 240073372 360110058 720220116