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11992680 = 2332574759
BaseRepresentation
bin101101101111…
…111001101000
3211120021212100
4231233321220
511032231210
61105013400
7203636040
oct55577150
924507770
1011992680
116851307
124024260
13263b87b
141842720
1510bd5c0
hexb6fe68

11992680 has 96 divisors (see below), whose sum is σ = 44553600. Its totient is φ = 2740608.

The previous prime is 11992679. The next prime is 11992693. The reversal of 11992680 is 8629911.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 141 + ... + 4899.

It is an arithmetic number, because the mean of its divisors is an integer number (464100).

Almost surely, 211992680 is an apocalyptic number.

11992680 is a gapful number since it is divisible by the number (10) 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 11992680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22276800).

11992680 is an abundant number, since it is smaller than the sum of its proper divisors (32560920).

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

11992680 is a wasteful number, since it uses less digits than its factorization.

11992680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4783 (or 4776 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 11992680 is about 3463.0449029719. The cubic root of 11992680 is about 228.8962873294.

The spelling of 11992680 in words is "eleven million, nine hundred ninety-two 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 4759 9518 14277 19036 23795 28554 33313 38072 42831 47590 57108 66626 71385 85662 95180 99939 114216 133252 142770 166565 171324 190360 199878 214155 266504 285540 299817 333130 342648 399756 428310 499695 571080 599634 666260 799512 856620 999390 1199268 1332520 1499085 1713240 1998780 2398536 2998170 3997560 5996340 11992680