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213982320 = 2435891593
BaseRepresentation
bin11001100000100…
…01110001110000
3112220122102120010
430300101301300
5414234413240
633122214520
75205551106
oct1460216160
9486572503
10213982320
11aa8730a2
125b7b4440
1335441676
14205c1c76
1513bbc280
hexcc11c70

213982320 has 40 divisors (see below), whose sum is σ = 663345936. Its totient is φ = 57061888.

The previous prime is 213982303. The next prime is 213982331. The reversal of 213982320 is 23289312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 445557 + ... + 446036.

Almost surely, 2213982320 is an apocalyptic number.

213982320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213982320 is an abundant number, since it is smaller than the sum of its proper divisors (449363616).

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

213982320 is a wasteful number, since it uses less digits than its factorization.

213982320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891609 (or 891603 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 213982320 is about 14628.1345358867. The cubic root of 213982320 is about 598.1259303102.

The spelling of 213982320 in words is "two hundred thirteen million, nine hundred eighty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 891593 1783186 2674779 3566372 4457965 5349558 7132744 8915930 10699116 13373895 14265488 17831860 21398232 26747790 35663720 42796464 53495580 71327440 106991160 213982320