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200137540 = 22553349541
BaseRepresentation
bin10111110110111…
…01101101000100
3111221121001002111
423323131231010
5402213400130
631505350404
74650066241
oct1373355504
9457531074
10200137540
11a2a77329
1257038404
1332604aa5
141c81a5c8
151288502a
hexbeddb44

200137540 has 48 divisors (see below), whose sum is σ = 430239600. Its totient is φ = 78174720.

The previous prime is 200137537. The next prime is 200137547. The reversal of 200137540 is 45731002.

It can be written as a sum of positive squares in 8 ways, for example, as 2566404 + 197571136 = 1602^2 + 14056^2 .

It is not an unprimeable number, because it can be changed into a prime (200137547) 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, 369670 + ... + 370210.

It is an arithmetic number, because the mean of its divisors is an integer number (8963325).

Almost surely, 2200137540 is an apocalyptic number.

200137540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200137540 is an abundant number, since it is smaller than the sum of its proper divisors (230102060).

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

200137540 is a wasteful number, since it uses less digits than its factorization.

200137540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 200137540 is about 14146.9975613202. The cubic root of 200137540 is about 584.9375733907.

Adding to 200137540 its reverse (45731002), we get a palindrome (245868542).

The spelling of 200137540 in words is "two hundred million, one hundred thirty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 349 530 541 698 1060 1082 1396 1745 2164 2705 3490 5410 6980 10820 18497 28673 36994 57346 73988 92485 114692 143365 184970 188809 286730 369940 377618 573460 755236 944045 1888090 3776180 10006877 20013754 40027508 50034385 100068770 200137540