Search a number
-
+
23206680 = 2332579209
BaseRepresentation
bin101100010000…
…1101100011000
31121200000120200
41120201230120
521420103210
62145222200
7401152650
oct130415430
947600520
1023206680
1112110582
127931960
134a66b83
143121360
1520860c0
hex1621b18

23206680 has 96 divisors (see below), whose sum is σ = 86205600. Its totient is φ = 5303808.

The previous prime is 23206643. The next prime is 23206727. The reversal of 23206680 is 8660232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2085 + ... + 7124.

It is an arithmetic number, because the mean of its divisors is an integer number (897975).

Almost surely, 223206680 is an apocalyptic number.

23206680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23206680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43102800).

23206680 is an abundant number, since it is smaller than the sum of its proper divisors (62998920).

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

23206680 is a wasteful number, since it uses less digits than its factorization.

23206680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9233 (or 9226 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 23206680 is about 4817.3312113659. The cubic root of 23206680 is about 285.2360002736.

The spelling of 23206680 in words is "twenty-three million, two hundred six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 9209 18418 27627 36836 46045 55254 64463 73672 82881 92090 110508 128926 138135 165762 184180 193389 221016 257852 276270 322315 331524 368360 386778 414405 515704 552540 580167 644630 663048 773556 828810 966945 1105080 1160334 1289260 1547112 1657620 1933890 2320668 2578520 2900835 3315240 3867780 4641336 5801670 7735560 11603340 23206680