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213270928 = 24137912979
BaseRepresentation
bin11001011011001…
…00000110010000
3112212022021201021
430231210012100
5414044132203
633055045224
75166526063
oct1455440620
9485267637
10213270928
11aa427672
125b510814
1335252920
14204788da
1513acb5bd
hexcb64190

213270928 has 40 divisors (see below), whose sum is σ = 450665600. Its totient is φ = 97179264.

The previous prime is 213270919. The next prime is 213270929. The reversal of 213270928 is 829072312.

It is a junction number, because it is equal to n+sod(n) for n = 213270893 and 213270902.

It is not an unprimeable number, because it can be changed into a prime (213270929) 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 7 ways as a sum of consecutive naturals, for example, 9943 + ... + 22921.

It is an arithmetic number, because the mean of its divisors is an integer number (11266640).

Almost surely, 2213270928 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 213270928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225332800).

213270928 is an abundant number, since it is smaller than the sum of its proper divisors (237394672).

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

213270928 is a wasteful number, since it uses less digits than its factorization.

213270928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13079 (or 13073 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 213270928 is about 14603.7984100028. The cubic root of 213270928 is about 597.4623639512.

The spelling of 213270928 in words is "two hundred thirteen million, two hundred seventy thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 79 104 158 208 316 632 1027 1264 2054 4108 8216 12979 16432 25958 51916 103832 168727 207664 337454 674908 1025341 1349816 2050682 2699632 4101364 8202728 13329433 16405456 26658866 53317732 106635464 213270928