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213955340 = 22510697767
BaseRepresentation
bin11001100000010…
…11001100001100
3112220121001112212
430300023030030
5414233032330
633121445552
75205406334
oct1460131414
9486531485
10213955340
11aa8548a5
125b7a08b8
13354322c1
14205b60c4
1513bb4295
hexcc0b30c

213955340 has 12 divisors (see below), whose sum is σ = 449306256. Its totient is φ = 85582128.

The previous prime is 213955331. The next prime is 213955351. The reversal of 213955340 is 43559312.

213955340 = 51682 + 51692 + ... + 51752.

It is a junction number, because it is equal to n+sod(n) for n = 213955297 and 213955306.

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 3 ways as a sum of consecutive naturals, for example, 5348864 + ... + 5348903.

It is an arithmetic number, because the mean of its divisors is an integer number (37442188).

Almost surely, 2213955340 is an apocalyptic number.

213955340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213955340 is an abundant number, since it is smaller than the sum of its proper divisors (235350916).

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

213955340 is a wasteful number, since it uses less digits than its factorization.

213955340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10697776 (or 10697774 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 213955340 is about 14627.2123113053. The cubic root of 213955340 is about 598.1007909811.

The spelling of 213955340 in words is "two hundred thirteen million, nine hundred fifty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 10697767 21395534 42791068 53488835 106977670 213955340