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660788064 = 25333124671
BaseRepresentation
bin100111011000101…
…101001101100000
31201001101111211000
4213120231031200
52323130204224
6145322552000
722242414546
oct4730551540
91631344730
10660788064
11309aa7942
12165368600
13a6b90471
1463a8bd96
153d0290c9
hex2762d360

660788064 has 96 divisors (see below), whose sum is σ = 1989550080. Its totient is φ = 213148800.

The previous prime is 660788053. The next prime is 660788083. The reversal of 660788064 is 460887066.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14449 + ... + 39119.

It is an arithmetic number, because the mean of its divisors is an integer number (20724480).

Almost surely, 2660788064 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 660788064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994775040).

660788064 is an abundant number, since it is smaller than the sum of its proper divisors (1328762016).

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

660788064 is a wasteful number, since it uses less digits than its factorization.

660788064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24721 (or 24707 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 660788064 is about 25705.7982564246. The cubic root of 660788064 is about 871.0051640281.

The spelling of 660788064 in words is "six hundred sixty million, seven hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 992 1116 1488 1674 2232 2976 3348 4464 6696 8928 13392 24671 26784 49342 74013 98684 148026 197368 222039 296052 394736 444078 592104 666117 764801 789472 888156 1184208 1332234 1529602 1776312 2294403 2368416 2664468 3059204 3552624 4588806 5328936 6118408 6883209 7105248 9177612 10657872 12236816 13766418 18355224 20649627 21315744 24473632 27532836 36710448 41299254 55065672 73420896 82598508 110131344 165197016 220262688 330394032 660788064