Search a number
-
+
11997930 = 2357193197
BaseRepresentation
bin101101110001…
…001011101010
3211120120001210
4231301023222
511032413210
61105053550
7203660250
oct55611352
924516053
1011997930
11685524a
1240272b6
132641089
1418445d0
1510bee20
hexb712ea

11997930 has 128 divisors (see below), whose sum is σ = 36126720. Its totient is φ = 2488320.

The previous prime is 11997929. The next prime is 11997943. The reversal of 11997930 is 3979911.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123642 + ... + 123738.

It is an arithmetic number, because the mean of its divisors is an integer number (282240).

Almost surely, 211997930 is an apocalyptic number.

11997930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11997930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18063360).

11997930 is an abundant number, since it is smaller than the sum of its proper divisors (24128790).

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

11997930 is a wasteful number, since it uses less digits than its factorization.

11997930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164.

The product of its (nonzero) digits is 15309, while the sum is 39.

The square root of 11997930 is about 3463.8028234875. The cubic root of 11997930 is about 228.9296835399.

The spelling of 11997930 in words is "eleven million, nine hundred ninety-seven thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 31 35 38 42 57 62 70 93 95 97 105 114 133 155 186 190 194 210 217 266 285 291 310 399 434 465 485 570 582 589 651 665 679 798 930 970 1085 1178 1302 1330 1358 1455 1767 1843 1995 2037 2170 2910 2945 3007 3255 3395 3534 3686 3990 4074 4123 5529 5890 6014 6510 6790 8246 8835 9021 9215 10185 11058 12369 12901 15035 17670 18042 18430 20370 20615 21049 24738 25802 27645 30070 38703 41230 42098 45105 55290 57133 61845 63147 64505 77406 90210 105245 114266 123690 126294 129010 171399 193515 210490 285665 315735 342798 387030 399931 571330 631470 799862 856995 1199793 1713990 1999655 2399586 3999310 5998965 11997930