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5204640 = 253571549
BaseRepresentation
bin10011110110101010100000
3100210102102110
4103312222200
52313022030
6303315320
762144610
oct23665240
910712373
105204640
112a35361
1218abb40
131102c8c
14996a40
156cc1b0
hex4f6aa0

5204640 has 96 divisors (see below), whose sum is σ = 18748800. Its totient is φ = 1188864.

The previous prime is 5204629. The next prime is 5204687. The reversal of 5204640 is 464025.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 15 ways as a sum of consecutive naturals, for example, 2586 + ... + 4134.

It is an arithmetic number, because the mean of its divisors is an integer number (195300).

Almost surely, 25204640 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 5204640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9374400).

5204640 is an abundant number, since it is smaller than the sum of its proper divisors (13544160).

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

5204640 is a wasteful number, since it uses less digits than its factorization.

5204640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 5204640 is about 2281.3680106462. The cubic root of 5204640 is about 173.2993358700.

Adding to 5204640 its reverse (464025), we get a palindrome (5668665).

The spelling of 5204640 in words is "five million, two hundred four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1549 1680 3098 3360 4647 6196 7745 9294 10843 12392 15490 18588 21686 23235 24784 30980 32529 37176 43372 46470 49568 54215 61960 65058 74352 86744 92940 108430 123920 130116 148704 162645 173488 185880 216860 247840 260232 325290 346976 371760 433720 520464 650580 743520 867440 1040928 1301160 1734880 2602320 5204640