Search a number
-
+
720767264 = 25721393307
BaseRepresentation
bin101010111101100…
…000100100100000
31212020020202210212
4222331200210200
52434004023024
6155304313252
723601264200
oct5275404440
91766222725
10720767264
1133a944128
12181472828
13b6430b09
146ba22400
1543425a0e
hex2af60920

720767264 has 72 divisors (see below), whose sum is σ = 1663063920. Its totient is φ = 306585216.

The previous prime is 720767263. The next prime is 720767297. The reversal of 720767264 is 462767027.

It is not an unprimeable number, because it can be changed into a prime (720767263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216299 + ... + 219605.

It is an arithmetic number, because the mean of its divisors is an integer number (23098110).

Almost surely, 2720767264 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 720767264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831531960).

720767264 is an abundant number, since it is smaller than the sum of its proper divisors (942296656).

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

720767264 is a wasteful number, since it uses less digits than its factorization.

720767264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3470 (or 3455 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 41.

The square root of 720767264 is about 26847.1090436196. The cubic root of 720767264 is about 896.5992085592.

The spelling of 720767264 in words is "seven hundred twenty million, seven hundred sixty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 139 196 224 278 392 556 784 973 1112 1568 1946 2224 3307 3892 4448 6614 6811 7784 13228 13622 15568 23149 26456 27244 31136 46298 52912 54488 92596 105824 108976 162043 185192 217952 324086 370384 459673 648172 740768 919346 1296344 1838692 2592688 3217711 3677384 5185376 6435422 7354768 12870844 14709536 22523977 25741688 45047954 51483376 90095908 102966752 180191816 360383632 720767264