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216840120 = 23357258143
BaseRepresentation
bin11001110110010…
…11011110111000
3120010000121201120
430323023132320
5421002340440
633303345240
75242052640
oct1473133670
9503017646
10216840120
11101445212
1260752220
1335c02383
1420b27520
1514083dd0
hexcecb7b8

216840120 has 64 divisors (see below), whose sum is σ = 743454720. Its totient is φ = 49563264.

The previous prime is 216840061. The next prime is 216840121. The reversal of 216840120 is 21048612.

It is a super-2 number, since 2×2168401202 = 94039275283228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216840121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128232 + ... + 129911.

It is an arithmetic number, because the mean of its divisors is an integer number (11616480).

Almost surely, 2216840120 is an apocalyptic number.

216840120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216840120 is an abundant number, since it is smaller than the sum of its proper divisors (526614600).

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

216840120 is a wasteful number, since it uses less digits than its factorization.

216840120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258164 (or 258160 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 216840120 is about 14725.4921819272. The cubic root of 216840120 is about 600.7768825439.

Adding to 216840120 its reverse (21048612), we get a palindrome (237888732).

The spelling of 216840120 in words is "two hundred sixteen million, eight hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 258143 516286 774429 1032572 1290715 1548858 1807001 2065144 2581430 3097716 3614002 3872145 5162860 5421003 6195432 7228004 7744290 9035005 10325720 10842006 14456008 15488580 18070010 21684012 27105015 30977160 36140020 43368024 54210030 72280040 108420060 216840120