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201964240 = 2452524553
BaseRepresentation
bin11000000100110…
…11101011010000
3112002000211212001
430002123223100
5403200323430
632012443344
75001445012
oct1402335320
9462024761
10201964240
11a40047a5
1257779554
1332ac438a
141cb741b2
1512ae63ca
hexc09bad0

201964240 has 20 divisors (see below), whose sum is σ = 469567044. Its totient is φ = 80785664.

The previous prime is 201964201. The next prime is 201964261. The reversal of 201964240 is 42469102.

It can be written as a sum of positive squares in 2 ways, for example, as 156050064 + 45914176 = 12492^2 + 6776^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 201964199 and 201964208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1262197 + ... + 1262356.

Almost surely, 2201964240 is an apocalyptic number.

201964240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201964240 is an abundant number, since it is smaller than the sum of its proper divisors (267602804).

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

201964240 is a wasteful number, since it uses less digits than its factorization.

201964240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524566 (or 2524560 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 201964240 is about 14211.4123154597. The cubic root of 201964240 is about 586.7118049521.

The spelling of 201964240 in words is "two hundred one million, nine hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2524553 5049106 10098212 12622765 20196424 25245530 40392848 50491060 100982120 201964240