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213813936 = 24327212117
BaseRepresentation
bin11001011111010…
…00101010110000
3112220022212120200
430233220222300
5414214021221
633114435200
75204250150
oct1457505260
9486285520
10213813936
11aa768636
125b732b00
13353b2b2b
142057a760
1513b87426
hexcbe8ab0

213813936 has 60 divisors (see below), whose sum is σ = 683868432. Its totient is φ = 61089408.

The previous prime is 213813923. The next prime is 213813937. The reversal of 213813936 is 639318312.

213813936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 213813936.

It is not an unprimeable number, because it can be changed into a prime (213813937) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105051 + ... + 107066.

Almost surely, 2213813936 is an apocalyptic number.

It is an amenable number.

213813936 is an abundant number, since it is smaller than the sum of its proper divisors (470054496).

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

213813936 is a wasteful number, since it uses less digits than its factorization.

213813936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212138 (or 212129 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 213813936 is about 14622.3779187928. The cubic root of 213813936 is about 597.9689994854.

The spelling of 213813936 in words is "two hundred thirteen million, eight hundred thirteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 212117 424234 636351 848468 1272702 1484819 1696936 1909053 2545404 2969638 3393872 3818106 4454457 5090808 5939276 7636212 8908914 10181616 11878552 13363371 15272424 17817828 23757104 26726742 30544848 35635656 53453484 71271312 106906968 213813936