Search a number
-
+
202060540 = 225111735309
BaseRepresentation
bin11000000101100…
…11001011111100
3112002012201221201
430002303023330
5403211414130
632014505244
75002325533
oct1402631374
9462181851
10202060540
11a4070090
1257805224
1332b29166
141cb9b31a
1512b14bca
hexc0b32fc

202060540 has 48 divisors (see below), whose sum is σ = 465665760. Its totient is φ = 73038080.

The previous prime is 202060531. The next prime is 202060541. The reversal of 202060540 is 45060202.

202060540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202060541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35406 + ... + 40714.

It is an arithmetic number, because the mean of its divisors is an integer number (9701370).

Almost surely, 2202060540 is an apocalyptic number.

202060540 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 202060540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232832880).

202060540 is an abundant number, since it is smaller than the sum of its proper divisors (263605220).

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

202060540 is a wasteful number, since it uses less digits than its factorization.

202060540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5502 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 202060540 is about 14214.8000337676. The cubic root of 202060540 is about 586.8050415388.

The spelling of 202060540 in words is "two hundred two million, sixty thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 173 220 346 692 865 1730 1903 3460 3806 5309 7612 9515 10618 19030 21236 26545 38060 53090 58399 106180 116798 233596 291995 583990 918457 1167980 1836914 3673828 4592285 9184570 10103027 18369140 20206054 40412108 50515135 101030270 202060540