Search a number
-
+
201415020 = 22356415237
BaseRepresentation
bin11000000000101…
…01100101101100
3112000222221110120
430000111211230
5403030240040
631553004540
74663666542
oct1400254554
9460887416
10201415020
11a376a0a4
1257553750
13329613b1
141ca6dd92
1512a387d0
hexc01596c

201415020 has 48 divisors (see below), whose sum is σ = 564949728. Its totient is φ = 53616640.

The previous prime is 201415009. The next prime is 201415033. The reversal of 201415020 is 20514102.

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

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, 35842 + ... + 41078.

It is an arithmetic number, because the mean of its divisors is an integer number (11769786).

Almost surely, 2201415020 is an apocalyptic number.

201415020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201415020 is an abundant number, since it is smaller than the sum of its proper divisors (363534708).

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

201415020 is a wasteful number, since it uses less digits than its factorization.

201415020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5890 (or 5888 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 201415020 is about 14192.0759580831. The cubic root of 201415020 is about 586.1794889457.

Adding to 201415020 its reverse (20514102), we get a palindrome (221929122).

The spelling of 201415020 in words is "two hundred one million, four hundred fifteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 641 1282 1923 2564 3205 3846 5237 6410 7692 9615 10474 12820 15711 19230 20948 26185 31422 38460 52370 62844 78555 104740 157110 314220 3356917 6713834 10070751 13427668 16784585 20141502 33569170 40283004 50353755 67138340 100707510 201415020