Search a number
-
+
213016076 = 22713761769
BaseRepresentation
bin11001011001001…
…01111000001100
3112211211100010022
430230211320030
5414013003301
633045401312
75164415060
oct1454457014
9484740108
10213016076
11aa273149
125b409238
1335193920
142040daa0
1513a7ad1b
hexcb25e0c

213016076 has 48 divisors (see below), whose sum is σ = 460004160. Its totient is φ = 84049920.

The previous prime is 213016057. The next prime is 213016091. The reversal of 213016076 is 670610312.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 276620 + ... + 277388.

It is an arithmetic number, because the mean of its divisors is an integer number (9583420).

Almost surely, 2213016076 is an apocalyptic number.

213016076 is a gapful number since it is divisible by the number (26) 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 213016076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230002080).

213016076 is an abundant number, since it is smaller than the sum of its proper divisors (246988084).

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

213016076 is a wasteful number, since it uses less digits than its factorization.

213016076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 213016076 is about 14595.0702636198. The cubic root of 213016076 is about 597.2242862308.

Adding to 213016076 its reverse (670610312), we get a palindrome (883626388).

The spelling of 213016076 in words is "two hundred thirteen million, sixteen thousand, seventy-six".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 761 769 1522 1538 3044 3076 5327 5383 9893 9997 10654 10766 19786 19994 21308 21532 39572 39988 69251 69979 138502 139958 277004 279916 585209 1170418 2340836 4096463 7607717 8192926 15215434 16385852 30430868 53254019 106508038 213016076