Search a number
-
+
5020656600 = 2335224134721
BaseRepresentation
bin1001010110100000…
…10010001111011000
3110221220020210002110
410223100102033120
540240242002400
62150110032320
7235262606541
oct45320221730
913856223073
105020656600
112147036683
12b814a86a0
13620211b2b
14358b1b4c8
151e5b86e50
hex12b4123d8

5020656600 has 96 divisors (see below), whose sum is σ = 15629066640. Its totient is φ = 1333248000.

The previous prime is 5020656593. The next prime is 5020656623. The reversal of 5020656600 is 66560205.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127240 + ... + 161960.

Almost surely, 25020656600 is an apocalyptic number.

5020656600 is a gapful number since it is divisible by the number (50) 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 5020656600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7814533320).

5020656600 is an abundant number, since it is smaller than the sum of its proper divisors (10608410040).

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

5020656600 is a wasteful number, since it uses less digits than its factorization.

5020656600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34981 (or 34972 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 5020656600 is about 70856.5917893318. The cubic root of 5020656600 is about 1712.3275305378.

The spelling of 5020656600 in words is "five billion, twenty million, six hundred fifty-six thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 241 300 482 600 723 964 1205 1446 1928 2410 2892 3615 4820 5784 6025 7230 9640 12050 14460 18075 24100 28920 34721 36150 48200 69442 72300 104163 138884 144600 173605 208326 277768 347210 416652 520815 694420 833304 868025 1041630 1388840 1736050 2083260 2604075 3472100 4166520 5208150 6944200 8367761 10416300 16735522 20832600 25103283 33471044 41838805 50206566 66942088 83677610 100413132 125516415 167355220 200826264 209194025 251032830 334710440 418388050 502065660 627582075 836776100 1004131320 1255164150 1673552200 2510328300 5020656600