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201312480 = 2535419401
BaseRepresentation
bin10111111111111…
…00100011100000
3112000210201210210
423333330203200
5403013444410
631550454120
74663061565
oct1377744340
9460721723
10201312480
11a36aa056
1257504340
1332926815
141ca4486c
1512a18220
hexbffc8e0

201312480 has 48 divisors (see below), whose sum is σ = 634135824. Its totient is φ = 53683200.

The previous prime is 201312457. The next prime is 201312499. The reversal of 201312480 is 84213102.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209221 + ... + 210180.

It is an arithmetic number, because the mean of its divisors is an integer number (13211163).

Almost surely, 2201312480 is an apocalyptic number.

201312480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201312480 is an abundant number, since it is smaller than the sum of its proper divisors (432823344).

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

201312480 is a wasteful number, since it uses less digits than its factorization.

201312480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419419 (or 419411 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 201312480 is about 14188.4629188647. The cubic root of 201312480 is about 586.0799977761.

Adding to 201312480 its reverse (84213102), we get a palindrome (285525582).

The spelling of 201312480 in words is "two hundred one million, three hundred twelve thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 419401 838802 1258203 1677604 2097005 2516406 3355208 4194010 5032812 6291015 6710416 8388020 10065624 12582030 13420832 16776040 20131248 25164060 33552080 40262496 50328120 67104160 100656240 201312480