Search a number
-
+
720601056 = 25337217021
BaseRepresentation
bin101010111100110…
…111111111100000
31212012221022211000
4222330313333200
52433433213211
6155300552000
723600002500
oct5274677740
91765838730
10720601056
1133a84026a
121813b2600
13b63a3276
146b9bba00
15433e1656
hex2af37fe0

720601056 has 144 divisors (see below), whose sum is σ = 2445040080. Its totient is φ = 205873920.

The previous prime is 720601027. The next prime is 720601061. The reversal of 720601056 is 650106027.

720601056 is a `hidden beast` number, since 7 + 2 + 0 + 601 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 33826 + ... + 50846.

It is an arithmetic number, because the mean of its divisors is an integer number (16979445).

Almost surely, 2720601056 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 720601056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222520040).

720601056 is an abundant number, since it is smaller than the sum of its proper divisors (1724439024).

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

720601056 is a wasteful number, since it uses less digits than its factorization.

720601056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17054 (or 17033 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 720601056 is about 26844.0134108147. The cubic root of 720601056 is about 896.5302850546.

The spelling of 720601056 in words is "seven hundred twenty million, six hundred one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4704 5292 6048 7056 10584 14112 17021 21168 34042 42336 51063 68084 102126 119147 136168 153189 204252 238294 272336 306378 357441 408504 459567 476588 544672 612756 714882 817008 834029 919134 953176 1072323 1225512 1429764 1634016 1668058 1838268 1906352 2144646 2451024 2502087 2859528 3216969 3336116 3676536 3812704 4289292 4902048 5004174 5719056 6433938 6672232 7353072 7506261 8578584 10008348 11438112 12867876 13344464 14706144 15012522 17157168 20016696 22518783 25735752 26688928 30025044 34314336 40033392 45037566 51471504 60050088 80066784 90075132 102943008 120100176 180150264 240200352 360300528 720601056