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213426936 = 2332233592
BaseRepresentation
bin11001011100010…
…10001011111000
3112212121012201100
430232022023320
5414114130221
633102251400
75201045652
oct1456121370
9485535640
10213426936
11aa5238a8
125b586b60
13352a8938
14204b96d2
1513b0c926
hexcb8a2f8

213426936 has 72 divisors (see below), whose sum is σ = 604847880. Its totient is φ = 67859616.

The previous prime is 213426901. The next prime is 213426937. The reversal of 213426936 is 639624312.

213426936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 213426936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213426937) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 594325 + ... + 594683.

It is an arithmetic number, because the mean of its divisors is an integer number (8400665).

Almost surely, 2213426936 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 213426936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302423940).

213426936 is an abundant number, since it is smaller than the sum of its proper divisors (391420944).

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

213426936 is a wasteful number, since it uses less digits than its factorization.

213426936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 387 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 213426936 is about 14609.1387836518. The cubic root of 213426936 is about 597.6080099785.

The spelling of 213426936 in words is "two hundred thirteen million, four hundred twenty-six thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 359 414 552 718 828 1077 1436 1656 2154 2872 3231 4308 6462 8257 8616 12924 16514 24771 25848 33028 49542 66056 74313 99084 128881 148626 198168 257762 297252 386643 515524 594504 773286 1031048 1159929 1546572 2319858 2964263 3093144 4639716 5928526 8892789 9279432 11857052 17785578 23714104 26678367 35571156 53356734 71142312 106713468 213426936