Search a number
-
+
213062820 = 223512727961
BaseRepresentation
bin11001011001100…
…01010010100100
3112211220201020120
430230301102210
5414021002240
633050401540
75165001255
oct1454612244
9484821216
10213062820
11aa2a5283
125b4302b0
13351abc99
1420422b2c
1513a89ad0
hexcb314a4

213062820 has 48 divisors (see below), whose sum is σ = 601294848. Its totient is φ = 56367360.

The previous prime is 213062791. The next prime is 213062831. The reversal of 213062820 is 28260312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6361 + ... + 21600.

It is an arithmetic number, because the mean of its divisors is an integer number (12526976).

Almost surely, 2213062820 is an apocalyptic number.

213062820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213062820 is an abundant number, since it is smaller than the sum of its proper divisors (388232028).

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

213062820 is a wasteful number, since it uses less digits than its factorization.

213062820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28100 (or 28098 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 213062820 is about 14596.6715384022. The cubic root of 213062820 is about 597.2679677701.

The spelling of 213062820 in words is "two hundred thirteen million, sixty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2540 3810 7620 27961 55922 83883 111844 139805 167766 279610 335532 419415 559220 838830 1677660 3551047 7102094 10653141 14204188 17755235 21306282 35510470 42612564 53265705 71020940 106531410 213062820