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213540108 = 223296011021
BaseRepresentation
bin11001011101001…
…01110100001100
3112212210221221220
430232211310030
5414131240413
633104523340
75202026625
oct1456456414
9485727856
10213540108
11aa5a0931
125b620550
13353182c2
1420508a4c
1513b31223
hexcba5d0c

213540108 has 48 divisors (see below), whose sum is σ = 516804960. Its totient is φ = 68544000.

The previous prime is 213540083. The next prime is 213540109. The reversal of 213540108 is 801045312.

213540108 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (213540109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208638 + ... + 209658.

It is an arithmetic number, because the mean of its divisors is an integer number (10766770).

Almost surely, 2213540108 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 213540108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258402480).

213540108 is an abundant number, since it is smaller than the sum of its proper divisors (303264852).

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

213540108 is a wasteful number, since it uses less digits than its factorization.

213540108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 213540108 is about 14613.0115992563. The cubic root of 213540108 is about 597.7136207388.

The spelling of 213540108 in words is "two hundred thirteen million, five hundred forty thousand, one hundred eight".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 601 1021 1202 1803 2042 2404 3063 3606 4084 6126 7212 12252 17429 29609 34858 52287 59218 69716 88827 104574 118436 177654 209148 355308 613621 1227242 1840863 2454484 3681726 7363452 17795009 35590018 53385027 71180036 106770054 213540108