Search a number
-
+
213639168 = 21338693
BaseRepresentation
bin11001011101111…
…10000000000000
3112212222222211210
430232332000000
5414142423133
633111010120
75202621501
oct1456760000
9485888753
10213639168
11aa6592a6
125b669940
1335351412
1420532ba8
1513b50763
hexcbbe000

213639168 has 56 divisors (see below), whose sum is σ = 569735208. Its totient is φ = 71204864.

The previous prime is 213639161. The next prime is 213639191. The reversal of 213639168 is 861936312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213639161) by changing a digit.

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, 20230 + ... + 28922.

It is an arithmetic number, because the mean of its divisors is an integer number (10173843).

Almost surely, 2213639168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213639168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284867604).

213639168 is an abundant number, since it is smaller than the sum of its proper divisors (356096040).

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

213639168 is an frugal number, since it uses more digits than its factorization.

213639168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8722 (or 8698 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 213639168 is about 14616.4006513232. The cubic root of 213639168 is about 597.8060317282.

The spelling of 213639168 in words is "two hundred thirteen million, six hundred thirty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 8693 12288 17386 24576 26079 34772 52158 69544 104316 139088 208632 278176 417264 556352 834528 1112704 1669056 2225408 3338112 4450816 6676224 8901632 13352448 17803264 26704896 35606528 53409792 71213056 106819584 213639168