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200240520 = 233511314767
BaseRepresentation
bin10111110111101…
…10110110001000
3111221210021100120
423323312312020
5402230144040
631511503240
74651005414
oct1373666610
9457707316
10200240520
11a3037737
1257087b20
133263c91c
141c845d44
15128a57d0
hexbef6d88

200240520 has 64 divisors (see below), whose sum is σ = 606078720. Its totient is φ = 52921344.

The previous prime is 200240483. The next prime is 200240527. The reversal of 200240520 is 25042002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 200240520.

It is not an unprimeable number, because it can be changed into a prime (200240527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6177 + ... + 20943.

It is an arithmetic number, because the mean of its divisors is an integer number (9469980).

Almost surely, 2200240520 is an apocalyptic number.

200240520 is a gapful number since it is divisible by the number (20) 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 200240520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303039360).

200240520 is an abundant number, since it is smaller than the sum of its proper divisors (405838200).

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

200240520 is a wasteful number, since it uses less digits than its factorization.

200240520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14894 (or 14890 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 200240520 is about 14150.6367347904. The cubic root of 200240520 is about 585.0378819796.

Adding to 200240520 its reverse (25042002), we get a palindrome (225282522).

The spelling of 200240520 in words is "two hundred million, two hundred forty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 113 120 226 339 452 565 678 904 1130 1356 1695 2260 2712 3390 4520 6780 13560 14767 29534 44301 59068 73835 88602 118136 147670 177204 221505 295340 354408 443010 590680 886020 1668671 1772040 3337342 5006013 6674684 8343355 10012026 13349368 16686710 20024052 25030065 33373420 40048104 50060130 66746840 100120260 200240520