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213926742 = 232171634289
BaseRepresentation
bin11001100000001…
…00001101010110
3112220112121022200
430300010031112
5414231123432
633121105330
75205230061
oct1460041526
9486477280
10213926742
11aa835367
125b788246
1335422293
14205a98d8
1513baaa7c
hexcc04356

213926742 has 48 divisors (see below), whose sum is σ = 493899120. Its totient is φ = 66686976.

The previous prime is 213926737. The next prime is 213926747. The reversal of 213926742 is 247629312.

It is an interprime number because it is at equal distance from previous prime (213926737) and next prime (213926747).

It is a junction number, because it is equal to n+sod(n) for n = 213926697 and 213926706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213926747) 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 23 ways as a sum of consecutive naturals, for example, 47734 + ... + 52022.

It is an arithmetic number, because the mean of its divisors is an integer number (10289565).

Almost surely, 2213926742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213926742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246949560).

213926742 is an abundant number, since it is smaller than the sum of its proper divisors (279972378).

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

213926742 is a wasteful number, since it uses less digits than its factorization.

213926742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4477 (or 4474 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 213926742 is about 14626.2347171102. The cubic root of 213926742 is about 598.0741417303.

The spelling of 213926742 in words is "two hundred thirteen million, nine hundred twenty-six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 163 306 326 489 978 1467 2771 2934 4289 5542 8313 8578 12867 16626 24939 25734 38601 49878 72913 77202 145826 218739 437478 656217 699107 1312434 1398214 2097321 4194642 6291963 11884819 12583926 23769638 35654457 71308914 106963371 213926742