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5246820 = 22325103283
BaseRepresentation
bin10100000000111101100100
3100212120021200
4110000331210
52320344240
6304242500
762411565
oct24007544
910776250
105246820
112a64017
121910430
131119237
149a816c
156d9930
hex500f64

5246820 has 72 divisors (see below), whose sum is σ = 16126656. Its totient is φ = 1380672.

The previous prime is 5246809. The next prime is 5246821. The reversal of 5246820 is 286425.

It is a super-3 number, since 3×52468203 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5246821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18399 + ... + 18681.

Almost surely, 25246820 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 5246820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8063328).

5246820 is an abundant number, since it is smaller than the sum of its proper divisors (10879836).

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

5246820 is a wasteful number, since it uses less digits than its factorization.

5246820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5246820 is about 2290.5938094739. The cubic root of 5246820 is about 173.7662338402.

The spelling of 5246820 in words is "five million, two hundred forty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 283 309 412 515 566 618 849 927 1030 1132 1236 1415 1545 1698 1854 2060 2547 2830 3090 3396 3708 4245 4635 5094 5660 6180 8490 9270 10188 12735 16980 18540 25470 29149 50940 58298 87447 116596 145745 174894 262341 291490 349788 437235 524682 582980 874470 1049364 1311705 1748940 2623410 5246820