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11716380 = 22335131669
BaseRepresentation
bin101100101100…
…011100011100
3211001020212000
4230230130130
510444411010
61055042300
7201405354
oct54543434
924036760
1011716380
116682765
123b10390
132572b90
1417adb64
1510667c0
hexb2c71c

11716380 has 96 divisors (see below), whose sum is σ = 39278400. Its totient is φ = 2882304.

The previous prime is 11716343. The next prime is 11716381. The reversal of 11716380 is 8361711.

11716380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

11716380 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11716381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6186 + ... + 7854.

It is an arithmetic number, because the mean of its divisors is an integer number (409150).

Almost surely, 211716380 is an apocalyptic number.

11716380 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 11716380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19639200).

11716380 is an abundant number, since it is smaller than the sum of its proper divisors (27562020).

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

11716380 is a wasteful number, since it uses less digits than its factorization.

11716380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 11716380 is about 3422.9198062473. The cubic root of 11716380 is about 227.1247608021.

The spelling of 11716380 in words is "eleven million, seven hundred sixteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1669 1755 2340 3338 3510 5007 6676 7020 8345 10014 15021 16690 20028 21697 25035 30042 33380 43394 45063 50070 60084 65091 75105 86788 90126 100140 108485 130182 150210 180252 195273 216970 225315 260364 300420 325455 390546 433940 450630 585819 650910 781092 901260 976365 1171638 1301820 1952730 2343276 2929095 3905460 5858190 11716380