Search a number
-
+
202543540 = 225291372549
BaseRepresentation
bin11000001001010…
…01000110110100
3112010010021111121
430010221012310
5403322343130
632033113324
75006406643
oct1404510664
9463107447
10202543540
11a436aa61
12579b8844
1332c67c64
141cc8535a
1512bacd7a
hexc1291b4

202543540 has 48 divisors (see below), whose sum is σ = 443394000. Its totient is φ = 77622272.

The previous prime is 202543531. The next prime is 202543669. The reversal of 202543540 is 45345202.

It can be written as a sum of positive squares in 8 ways, for example, as 11329956 + 191213584 = 3366^2 + 13828^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78186 + ... + 80734.

It is an arithmetic number, because the mean of its divisors is an integer number (9237375).

Almost surely, 2202543540 is an apocalyptic number.

202543540 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 202543540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221697000).

202543540 is an abundant number, since it is smaller than the sum of its proper divisors (240850460).

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

202543540 is a wasteful number, since it uses less digits than its factorization.

202543540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 202543540 is about 14231.7792281921. The cubic root of 202543540 is about 587.2722304030.

Adding to 202543540 its reverse (45345202), we get a palindrome (247888742).

The spelling of 202543540 in words is "two hundred two million, five hundred forty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 137 145 274 290 548 580 685 1370 2549 2740 3973 5098 7946 10196 12745 15892 19865 25490 39730 50980 73921 79460 147842 295684 349213 369605 698426 739210 1396852 1478420 1746065 3492130 6984260 10127177 20254354 40508708 50635885 101271770 202543540