Search a number
-
+
216180840 = 233517105971
BaseRepresentation
bin11001110001010…
…10100001101000
3120001210010100210
430320222201220
5420320241330
633241301120
75233335561
oct1470524150
9501703323
10216180840
11101034957
12604947a0
1335a31275
14209d5168
1513ea38b0
hexce2a868

216180840 has 64 divisors (see below), whose sum is σ = 686698560. Its totient is φ = 54256640.

The previous prime is 216180827. The next prime is 216180847. The reversal of 216180840 is 48081612.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 216180798 and 216180807.

It is not an unprimeable number, because it can be changed into a prime (216180847) 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, 50946 + ... + 55025.

It is an arithmetic number, because the mean of its divisors is an integer number (10729665).

Almost surely, 2216180840 is an apocalyptic number.

216180840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216180840 is an abundant number, since it is smaller than the sum of its proper divisors (470517720).

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

216180840 is a wasteful number, since it uses less digits than its factorization.

216180840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106002 (or 105998 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 216180840 is about 14703.0894712642. The cubic root of 216180840 is about 600.1673977368.

The spelling of 216180840 in words is "two hundred sixteen million, one hundred eighty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 105971 211942 317913 423884 529855 635826 847768 1059710 1271652 1589565 1801507 2119420 2543304 3179130 3603014 4238840 5404521 6358260 7206028 9007535 10809042 12716520 14412056 18015070 21618084 27022605 36030140 43236168 54045210 72060280 108090420 216180840