Search a number
-
+
212675680 = 2557227127
BaseRepresentation
bin11001010110100…
…10110001100000
3112211012001012001
430223102301200
5413421110210
633034213344
75161466500
oct1453226140
9484161161
10212675680
11aa060428
125b284254
13350a49c9
1420361a00
1513a1003a
hexcad2c60

212675680 has 72 divisors (see below), whose sum is σ = 584499888. Its totient is φ = 72914688.

The previous prime is 212675653. The next prime is 212675681. The reversal of 212675680 is 86576212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212675681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5724 + ... + 21403.

It is an arithmetic number, because the mean of its divisors is an integer number (8118054).

Almost surely, 2212675680 is an apocalyptic number.

212675680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212675680 is an abundant number, since it is smaller than the sum of its proper divisors (371824208).

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

212675680 is a wasteful number, since it uses less digits than its factorization.

212675680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27156 (or 27141 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 212675680 is about 14583.4042664942. The cubic root of 212675680 is about 596.9059986094.

The spelling of 212675680 in words is "two hundred twelve million, six hundred seventy-five thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 27127 54254 108508 135635 189889 217016 271270 379778 434032 542540 759556 868064 949445 1085080 1329223 1519112 1898890 2170160 2658446 3038224 3797780 4340320 5316892 6076448 6646115 7595560 10633784 13292230 15191120 21267568 26584460 30382240 42535136 53168920 106337840 212675680