Search a number
-
+
11713800 = 2335272789
BaseRepresentation
bin101100101011…
…110100001000
3211001010022110
4230223310020
510444320200
61055022320
7201365010
oct54536410
924033273
1011713800
11668082a
123b0a9a0
132571957
1417acc40
151065b50
hexb2bd08

11713800 has 96 divisors (see below), whose sum is σ = 41515200. Its totient is φ = 2676480.

The previous prime is 11713781. The next prime is 11713813. The reversal of 11713800 is 831711.

It is a super-2 number, since 2×117138002 = 274426220880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2806 + ... + 5594.

It is an arithmetic number, because the mean of its divisors is an integer number (432450).

Almost surely, 211713800 is an apocalyptic number.

11713800 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 11713800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20757600).

11713800 is an abundant number, since it is smaller than the sum of its proper divisors (29801400).

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

11713800 is a wasteful number, since it uses less digits than its factorization.

11713800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 11713800 is about 3422.5429142671. The cubic root of 11713800 is about 227.1080882776.

The spelling of 11713800 in words is "eleven million, seven hundred thirteen thousand, eight hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 2789 4200 5578 8367 11156 13945 16734 19523 22312 27890 33468 39046 41835 55780 58569 66936 69725 78092 83670 97615 111560 117138 139450 156184 167340 195230 209175 234276 278900 292845 334680 390460 418350 468552 488075 557800 585690 780920 836700 976150 1171380 1464225 1673400 1952300 2342760 2928450 3904600 5856900 11713800