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216120 = 23351801
BaseRepresentation
bin110100110000111000
3101222110110
4310300320
523403440
64344320
71560042
oct646070
9358413
10216120
11138413
12a50a0
13774a8
1458a92
1544080
hex34c38

216120 has 32 divisors (see below), whose sum is σ = 648720. Its totient is φ = 57600.

The previous prime is 216119. The next prime is 216127. The reversal of 216120 is 21612.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 216096 and 216105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 781 + ... + 1020.

2216120 is an apocalyptic number.

216120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216120 is an abundant number, since it is smaller than the sum of its proper divisors (432600).

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

216120 is a wasteful number, since it uses less digits than its factorization.

216120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 216120 is about 464.8870830643. The cubic root of 216120 is about 60.0111090541.

Adding to 216120 its reverse (21612), we get a palindrome (237732).

The spelling of 216120 in words is "two hundred sixteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1801 3602 5403 7204 9005 10806 14408 18010 21612 27015 36020 43224 54030 72040 108060 216120