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5299920 = 2432517433
BaseRepresentation
bin10100001101111011010000
3100222021010100
4110031323100
52324044140
6305332400
763022443
oct24157320
910867110
105299920
112a9a9aa
121937100
131137462
149bd65a
156ea530
hex50ded0

5299920 has 120 divisors (see below), whose sum is σ = 18889416. Its totient is φ = 1327104.

The previous prime is 5299919. The next prime is 5299927. The reversal of 5299920 is 299925.

It can be written as a sum of positive squares in 4 ways, for example, as 318096 + 4981824 = 564^2 + 2232^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5299927) 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 23 ways as a sum of consecutive naturals, for example, 12024 + ... + 12456.

Almost surely, 25299920 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 5299920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9444708).

5299920 is an abundant number, since it is smaller than the sum of its proper divisors (13589496).

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

5299920 is a wasteful number, since it uses less digits than its factorization.

5299920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 5299920 is about 2302.1555116890. The cubic root of 5299920 is about 174.3504628827.

It can be divided in two parts, 5 and 299920, that added together give a triangular number (299925 = T774).

The spelling of 5299920 in words is "five million, two hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 433 510 612 680 720 765 816 866 1020 1224 1299 1360 1530 1732 2040 2165 2448 2598 3060 3464 3897 4080 4330 5196 6120 6495 6928 7361 7794 8660 10392 12240 12990 14722 15588 17320 19485 20784 22083 25980 29444 31176 34640 36805 38970 44166 51960 58888 62352 66249 73610 77940 88332 103920 110415 117776 132498 147220 155880 176664 220830 264996 294440 311760 331245 353328 441660 529992 588880 662490 883320 1059984 1324980 1766640 2649960 5299920