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1660968288 = 25337239233
BaseRepresentation
bin110001100000000…
…0101110101100000
311021202101221011000
41203000011311200
511400201441123
6432452152000
756105666100
oct14300056540
94252357130
101660968288
11782634071
123a4308600
13206161695
1411a845200
159ac43b43
hex63005d60

1660968288 has 144 divisors (see below), whose sum is σ = 5635571760. Its totient is φ = 474550272.

The previous prime is 1660968259. The next prime is 1660968311. The reversal of 1660968288 is 8828690661.

It is a happy number.

1660968288 is a `hidden beast` number, since 1 + 6 + 609 + 6 + 8 + 28 + 8 = 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22720 + ... + 61952.

It is an arithmetic number, because the mean of its divisors is an integer number (39135915).

Almost surely, 21660968288 is an apocalyptic number.

1660968288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1660968288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817785880).

1660968288 is an abundant number, since it is smaller than the sum of its proper divisors (3974603472).

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

1660968288 is a wasteful number, since it uses less digits than its factorization.

1660968288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39266 (or 39245 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 1660968288 is about 40754.9786897257. The cubic root of 1660968288 is about 1184.2783236001.

The spelling of 1660968288 in words is "one billion, six hundred sixty million, nine hundred sixty-eight thousand, two hundred eighty-eight".

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 21168 39233 42336 78466 117699 156932 235398 274631 313864 353097 470796 549262 627728 706194 823893 941592 1059291 1098524 1255456 1412388 1647786 1883184 1922417 2118582 2197048 2471679 2824776 3295572 3766368 3844834 4237164 4394096 4943358 5649552 5767251 6591144 7415037 7689668 8474328 8788192 9886716 11299104 11534502 13182288 14830074 15379336 16948656 17301753 19773432 23069004 26364576 29660148 30758672 33897312 34603506 39546864 46138008 51905259 59320296 61517344 69207012 79093728 92276016 103810518 118640592 138414024 184552032 207621036 237281184 276828048 415242072 553656096 830484144 1660968288