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11414700 = 223252111153
BaseRepresentation
bin101011100010…
…110010101100
3210110221000200
4223202302230
510410232300
61044353500
7166011003
oct53426254
923427020
1011414700
116497040
1239a5890
13249877b
141731c3a
151007200
hexae2cac

11414700 has 108 divisors (see below), whose sum is σ = 39065208. Its totient is φ = 2764800.

The previous prime is 11414699. The next prime is 11414729. The reversal of 11414700 is 741411.

11414700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9324 + ... + 10476.

Almost surely, 211414700 is an apocalyptic number.

11414700 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 11414700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19532604).

11414700 is an abundant number, since it is smaller than the sum of its proper divisors (27650508).

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

11414700 is a wasteful number, since it uses less digits than its factorization.

11414700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 11414700 is about 3378.5647840466. The cubic root of 11414700 is about 225.1584069689.

Subtracting from 11414700 its reverse (741411), we obtain a square (10673289 = 32672).

The spelling of 11414700 in words is "eleven million, four hundred fourteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1153 1650 1980 2306 2475 3300 3459 4612 4950 5765 6918 9900 10377 11530 12683 13836 17295 20754 23060 25366 28825 34590 38049 41508 50732 51885 57650 63415 69180 76098 86475 103770 114147 115300 126830 152196 172950 190245 207540 228294 253660 259425 317075 345900 380490 456588 518850 570735 634150 760980 951225 1037700 1141470 1268300 1902450 2282940 2853675 3804900 5707350 11414700