Search a number
-
+
5299680 = 253561181
BaseRepresentation
bin10100001101110111100000
3100222020210110
4110031313200
52324042210
6305331320
763021651
oct24156740
910866713
105299680
112a9a801
121936b40
131137309
149bd528
156ea420
hex50dde0

5299680 has 96 divisors (see below), whose sum is σ = 17061408. Its totient is φ = 1382400.

The previous prime is 5299669. The next prime is 5299681. The reversal of 5299680 is 869925.

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 not an unprimeable number, because it can be changed into a prime (5299681) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 29190 + ... + 29370.

It is an arithmetic number, because the mean of its divisors is an integer number (177723).

Almost surely, 25299680 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 5299680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530704).

5299680 is an abundant number, since it is smaller than the sum of its proper divisors (11761728).

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

5299680 is a wasteful number, since it uses less digits than its factorization.

5299680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 5299680 is about 2302.1033860363. The cubic root of 5299680 is about 174.3478310981.

The spelling of 5299680 in words is "five million, two hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 80 96 120 122 160 181 183 240 244 305 362 366 480 488 543 610 724 732 905 915 976 1086 1220 1448 1464 1810 1830 1952 2172 2440 2715 2896 2928 3620 3660 4344 4880 5430 5792 5856 7240 7320 8688 9760 10860 11041 14480 14640 17376 21720 22082 28960 29280 33123 43440 44164 55205 66246 86880 88328 110410 132492 165615 176656 220820 264984 331230 353312 441640 529968 662460 883280 1059936 1324920 1766560 2649840 5299680