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5029960 = 2351317569
BaseRepresentation
bin10011001100000001001000
3100110112210211
4103030001020
52241424320
6255450504
760516415
oct23140110
910415724
105029960
1129260a1
121826a34
131071610
1494d10c
1569555a
hex4cc048

5029960 has 64 divisors (see below), whose sum is σ = 12927600. Its totient is φ = 1744896.

The previous prime is 5029957. The next prime is 5029991. The reversal of 5029960 is 699205.

It can be written as a sum of positive squares in 8 ways, for example, as 1085764 + 3944196 = 1042^2 + 1986^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8556 + ... + 9124.

Almost surely, 25029960 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 5029960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6463800).

5029960 is an abundant number, since it is smaller than the sum of its proper divisors (7897640).

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

5029960 is a wasteful number, since it uses less digits than its factorization.

5029960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 5029960 is about 2242.7572316236. The cubic root of 5029960 is about 171.3384539576.

The spelling of 5029960 in words is "five million, twenty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 569 680 884 1105 1138 1768 2210 2276 2845 4420 4552 5690 7397 8840 9673 11380 14794 19346 22760 29588 36985 38692 48365 59176 73970 77384 96730 125749 147940 193460 251498 295880 386920 502996 628745 1005992 1257490 2514980 5029960