Search a number
-
+
201354320 = 2452516929
BaseRepresentation
bin11000000000001…
…10110001010000
3112000212212012102
430000012301100
5403021314240
631551415532
74663324556
oct1400066120
9460785172
10201354320
11a3728532
12575245a8
133293c88b
141ca55bd6
1512a25815
hexc006c50

201354320 has 20 divisors (see below), whose sum is σ = 468148980. Its totient is φ = 80541696.

The previous prime is 201354317. The next prime is 201354323. The reversal of 201354320 is 23453102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (201354317) and next prime (201354323).

It can be written as a sum of positive squares in 2 ways, for example, as 23078416 + 178275904 = 4804^2 + 13352^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 201354292 and 201354301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201354323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1258385 + ... + 1258544.

It is an arithmetic number, because the mean of its divisors is an integer number (23407449).

Almost surely, 2201354320 is an apocalyptic number.

201354320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201354320 is an abundant number, since it is smaller than the sum of its proper divisors (266794660).

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

201354320 is a wasteful number, since it uses less digits than its factorization.

201354320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2516942 (or 2516936 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 201354320 is about 14189.9372796359. The cubic root of 201354320 is about 586.1205978231.

The spelling of 201354320 in words is "two hundred one million, three hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2516929 5033858 10067716 12584645 20135432 25169290 40270864 50338580 100677160 201354320