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669601296 = 243371317033
BaseRepresentation
bin100111111010010…
…100111000010000
31201122222021022000
4213322110320100
52332404220141
6150235514000
722410342240
oct4772247020
91648867260
10669601296
11313a77401
121682b8900
13a8957ab0
1464d03b20
153dbba5b6
hex27e94e10

669601296 has 160 divisors (see below), whose sum is σ = 2365681920. Its totient is φ = 176587776.

The previous prime is 669601243. The next prime is 669601297. The reversal of 669601296 is 692106966.

It is not an unprimeable number, because it can be changed into a prime (669601297) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30796 + ... + 47828.

It is an arithmetic number, because the mean of its divisors is an integer number (14785512).

Almost surely, 2669601296 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 669601296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182840960).

669601296 is an abundant number, since it is smaller than the sum of its proper divisors (1696080624).

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

669601296 is a wasteful number, since it uses less digits than its factorization.

669601296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17070 (or 17058 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 669601296 is about 25876.6554253056. The cubic root of 669601296 is about 874.8604059214.

The spelling of 669601296 in words is "six hundred sixty-nine million, six hundred one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 546 624 702 728 756 819 936 1008 1092 1404 1456 1512 1638 1872 2184 2457 2808 3024 3276 4368 4914 5616 6552 9828 13104 17033 19656 34066 39312 51099 68132 102198 119231 136264 153297 204396 221429 238462 272528 306594 357693 408792 442858 459891 476924 613188 664287 715386 817584 885716 919782 953848 1073079 1226376 1328574 1430772 1550003 1771432 1839564 1907696 1992861 2146158 2452752 2657148 2861544 3100006 3219237 3542864 3679128 3985722 4292316 4650009 5314296 5723088 5978583 6200012 6438474 7358256 7971444 8584632 9300018 10628592 11957166 12400024 12876948 13950027 15942888 17169264 18600036 23914332 24800048 25753896 27900054 31885776 37200072 41850081 47828664 51507792 55800108 74400144 83700162 95657328 111600216 167400324 223200432 334800648 669601296