Search a number
-
+
660693216 = 25323734099
BaseRepresentation
bin100111011000010…
…110000011100000
31201001012200201010
4213120112003200
52323114140331
6145320540520
722241541201
oct4730260340
91631180633
10660693216
11309a42657
12165321740
13a6b59241
1463a655a8
153d00ae46
hex276160e0

660693216 has 96 divisors (see below), whose sum is σ = 1834963200. Its totient is φ = 207719424.

The previous prime is 660693199. The next prime is 660693227. The reversal of 660693216 is 612396066.

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, 159135 + ... + 163233.

It is an arithmetic number, because the mean of its divisors is an integer number (19114200).

Almost surely, 2660693216 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 660693216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917481600).

660693216 is an abundant number, since it is smaller than the sum of its proper divisors (1174269984).

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

660693216 is a wasteful number, since it uses less digits than its factorization.

660693216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4208 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 660693216 is about 25703.9533146168. The cubic root of 660693216 is about 870.9634880075.

The spelling of 660693216 in words is "six hundred sixty million, six hundred ninety-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 73 92 96 138 146 184 219 276 292 368 438 552 584 736 876 1104 1168 1679 1752 2208 2336 3358 3504 4099 5037 6716 7008 8198 10074 12297 13432 16396 20148 24594 26864 32792 40296 49188 53728 65584 80592 94277 98376 131168 161184 188554 196752 282831 299227 377108 393504 565662 598454 754216 897681 1131324 1196908 1508432 1795362 2262648 2393816 3016864 3590724 4525296 4787632 6882221 7181448 9050592 9575264 13764442 14362896 20646663 27528884 28725792 41293326 55057768 82586652 110115536 165173304 220231072 330346608 660693216