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201020540 = 22572415003
BaseRepresentation
bin10111111101101…
…01010001111100
3112000020220100012
423332311101330
5402430124130
631540322352
74660434500
oct1376652174
9460226305
10201020540
11a351a786
12573a33b8
1332853986
141c9aa300
15129ab995
hexbfb547c

201020540 has 72 divisors (see below), whose sum is σ = 503142192. Its totient is φ = 67226880.

The previous prime is 201020537. The next prime is 201020543. The reversal of 201020540 is 45020102.

It is an interprime number because it is at equal distance from previous prime (201020537) and next prime (201020543).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201020543) 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, 37679 + ... + 42681.

It is an arithmetic number, because the mean of its divisors is an integer number (6988086).

Almost surely, 2201020540 is an apocalyptic number.

201020540 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 201020540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251571096).

201020540 is an abundant number, since it is smaller than the sum of its proper divisors (302121652).

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

201020540 is a wasteful number, since it uses less digits than its factorization.

201020540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5067 (or 5058 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 201020540 is about 14178.1712502001. The cubic root of 201020540 is about 585.7965529045.

Adding to 201020540 its reverse (45020102), we get a palindrome (246040642).

The spelling of 201020540 in words is "two hundred one million, twenty thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 49 70 82 98 140 164 196 205 245 287 410 490 574 820 980 1148 1435 2009 2870 4018 5003 5740 8036 10006 10045 20012 20090 25015 35021 40180 50030 70042 100060 140084 175105 205123 245147 350210 410246 490294 700420 820492 980588 1025615 1225735 1435861 2051230 2451470 2871722 4102460 4902940 5743444 7179305 10051027 14358610 20102054 28717220 40204108 50255135 100510270 201020540