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11314500 = 2235319397
BaseRepresentation
bin101011001010…
…010101000100
3210021211120120
4223022111010
510344031000
61042301540
7165112611
oct53122504
923254516
1011314500
11642882a
1239578b0
132461c92
141707508
15ed76a0
hexaca544

11314500 has 96 divisors (see below), whose sum is σ = 34769280. Its totient is φ = 2851200.

The previous prime is 11314487. The next prime is 11314507. The reversal of 11314500 is 541311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11314500.

It is not an unprimeable number, because it can be changed into a prime (11314507) 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, 28302 + ... + 28698.

It is an arithmetic number, because the mean of its divisors is an integer number (362180).

Almost surely, 211314500 is an apocalyptic number.

11314500 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 11314500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17384640).

11314500 is an abundant number, since it is smaller than the sum of its proper divisors (23454780).

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

11314500 is a wasteful number, since it uses less digits than its factorization.

11314500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 11314500 is about 3363.7033162870. The cubic root of 11314500 is about 224.4976446629.

Adding to 11314500 its reverse (541311), we get a palindrome (11855811).

The spelling of 11314500 in words is "eleven million, three hundred fourteen thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 125 150 190 228 250 285 300 375 380 397 475 500 570 750 794 950 1140 1191 1425 1500 1588 1900 1985 2375 2382 2850 3970 4750 4764 5700 5955 7125 7543 7940 9500 9925 11910 14250 15086 19850 22629 23820 28500 29775 30172 37715 39700 45258 49625 59550 75430 90516 99250 113145 119100 148875 150860 188575 198500 226290 297750 377150 452580 565725 595500 754300 942875 1131450 1885750 2262900 2828625 3771500 5657250 11314500