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213473420 = 225171394517
BaseRepresentation
bin11001011100101…
…01100010001100
3112212200120110222
430232111202030
5414122122140
633103250512
75201331326
oct1456254214
9485616428
10213473420
11aa555816
125b5a9a38
13352c3b44
14204cc616
1513b1b5b5
hexcb9588c

213473420 has 48 divisors (see below), whose sum is σ = 478185120. Its totient is φ = 79770624.

The previous prime is 213473413. The next prime is 213473423. The reversal of 213473420 is 24374312.

It is a self number, because there is not a number n which added to its sum of digits gives 213473420.

It is not an unprimeable number, because it can be changed into a prime (213473423) by changing a digit.

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, 45002 + ... + 49518.

It is an arithmetic number, because the mean of its divisors is an integer number (9962190).

Almost surely, 2213473420 is an apocalyptic number.

213473420 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 213473420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239092560).

213473420 is an abundant number, since it is smaller than the sum of its proper divisors (264711700).

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

213473420 is a wasteful number, since it uses less digits than its factorization.

213473420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4682 (or 4680 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 213473420 is about 14610.7296190163. The cubic root of 213473420 is about 597.6513928097.

The spelling of 213473420 in words is "two hundred thirteen million, four hundred seventy-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 139 170 278 340 556 695 1390 2363 2780 4517 4726 9034 9452 11815 18068 22585 23630 45170 47260 76789 90340 153578 307156 383945 627863 767890 1255726 1535780 2511452 3139315 6278630 10673671 12557260 21347342 42694684 53368355 106736710 213473420