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5694632560 = 2452329106721
BaseRepresentation
bin1010100110110110…
…10011001001110000
3112200212110022022001
411103123103021300
543130311220220
62341023423344
7261055402201
oct52333231160
915625408261
105694632560
112462520801
12112b154b54
136c9a3bb86
143c043d5a8
15234e1880a
hex1536d3270

5694632560 has 80 divisors (see below), whose sum is σ = 14292210240. Its totient is φ = 2103664640.

The previous prime is 5694632551. The next prime is 5694632561. The reversal of 5694632560 is 652364965.

5694632560 is a nontrivial binomial coefficient, being equal to C(106721, 2).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 5694632560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5694632561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 106720.

It is an arithmetic number, because the mean of its divisors is an integer number (178652628).

Almost surely, 25694632560 is an apocalyptic number.

5694632560 is the 106720-th triangular number.

5694632560 is the 35574-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5694632560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7146105120).

5694632560 is an abundant number, since it is smaller than the sum of its proper divisors (8597577680).

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

5694632560 is a wasteful number, since it uses less digits than its factorization.

5694632560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106786 (or 106780 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 46.

The square root of 5694632560 is about 75462.7892407907. The cubic root of 5694632560 is about 1785.7551131481.

The spelling of 5694632560 in words is "five billion, six hundred ninety-four million, six hundred thirty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 29 40 46 58 80 92 115 116 145 184 230 232 290 368 460 464 580 667 920 1160 1334 1840 2320 2668 3335 5336 6670 10672 13340 26680 53360 106721 213442 426884 533605 853768 1067210 1707536 2134420 2454583 3094909 4268840 4909166 6189818 8537680 9818332 12272915 12379636 15474545 19636664 24545830 24759272 30949090 39273328 49091660 49518544 61898180 71182907 98183320 123796360 142365814 196366640 247592720 284731628 355914535 569463256 711829070 1138926512 1423658140 2847316280 5694632560