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201380416 = 263379337
BaseRepresentation
bin11000000000011…
…01001001000000
3112000221011222221
430000031021000
5403023133131
631552140424
74663463626
oct1400151100
9460834887
10201380416
11a37460a6
1257537714
133294b713
141ca61516
1512a2d411
hexc00d240

201380416 has 28 divisors (see below), whose sum is σ = 400842988. Its totient is φ = 100380672.

The previous prime is 201380407. The next prime is 201380429. The reversal of 201380416 is 614083102.

It can be written as a sum of positive squares in 2 ways, for example, as 132158016 + 69222400 = 11496^2 + 8320^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16900 + ... + 26236.

It is an arithmetic number, because the mean of its divisors is an integer number (14315821).

Almost surely, 2201380416 is an apocalyptic number.

It is an amenable number.

201380416 is a deficient number, since it is larger than the sum of its proper divisors (199462572).

201380416 is an equidigital number, since it uses as much as digits as its factorization.

201380416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9686 (or 9676 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 201380416 is about 14190.8567746983. The cubic root of 201380416 is about 586.1459176050.

The spelling of 201380416 in words is "two hundred one million, three hundred eighty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 337 674 1348 2696 5392 9337 10784 18674 21568 37348 74696 149392 298784 597568 3146569 6293138 12586276 25172552 50345104 100690208 201380416