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213956380 = 225111019629
BaseRepresentation
bin11001100000010…
…11011100011100
3112220121002222101
430300023130130
5414233101010
633121454444
75205412351
oct1460133434
9486532871
10213956380
11aa855660
125b7a1424
1335432911
14205b6628
1513bb473a
hexcc0b71c

213956380 has 48 divisors (see below), whose sum is σ = 495059040. Its totient is φ = 77024000.

The previous prime is 213956377. The next prime is 213956423. The reversal of 213956380 is 83659312.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17406 + ... + 27034.

It is an arithmetic number, because the mean of its divisors is an integer number (10313730).

Almost surely, 2213956380 is an apocalyptic number.

213956380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213956380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247529520).

213956380 is an abundant number, since it is smaller than the sum of its proper divisors (281102660).

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

213956380 is a wasteful number, since it uses less digits than its factorization.

213956380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9750 (or 9748 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 213956380 is about 14627.2478614400. The cubic root of 213956380 is about 598.1017600678.

The spelling of 213956380 in words is "two hundred thirteen million, nine hundred fifty-six thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 9629 11110 19258 22220 38516 48145 96290 105919 192580 211838 423676 529595 972529 1059190 1945058 2118380 3890116 4862645 9725290 10697819 19450580 21395638 42791276 53489095 106978190 213956380