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213416 = 23737103
BaseRepresentation
bin110100000110101000
3101211202022
4310012220
523312131
64324012
71546130
oct640650
9354668
10213416
11136385
12a3608
13761a8
1457ac0
154337b
hex341a8

213416 has 32 divisors (see below), whose sum is σ = 474240. Its totient is φ = 88128.

The previous prime is 213407. The next prime is 213449. The reversal of 213416 is 614312.

It is a junction number, because it is equal to n+sod(n) for n = 213394 and 213403.

It is an unprimeable number.

213416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2021 + ... + 2123.

It is an arithmetic number, because the mean of its divisors is an integer number (14820).

2213416 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 213416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237120).

213416 is an abundant number, since it is smaller than the sum of its proper divisors (260824).

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

213416 is a wasteful number, since it uses less digits than its factorization.

213416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 149 counting only the distinct ones).

The product of its digits is 144, while the sum is 17.

The square root of 213416 is about 461.9696959758. The cubic root of 213416 is about 59.7597802656.

Adding to 213416 its reverse (614312), we get a palindrome (827728).

The spelling of 213416 in words is "two hundred thirteen thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 28 37 56 74 103 148 206 259 296 412 518 721 824 1036 1442 2072 2884 3811 5768 7622 15244 26677 30488 53354 106708 213416