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11014300 = 225211171931
BaseRepresentation
bin101010000001…
…000010011100
3202201120210001
4222001002130
510304424200
61032024044
7162422443
oct52010234
922646701
1011014300
116243230
123832024
13238844b
141669d5a
15e7876a
hexa8109c

11014300 has 144 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 3456000.

The previous prime is 11014291. The next prime is 11014337. The reversal of 11014300 is 341011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355285 + ... + 355315.

It is an arithmetic number, because the mean of its divisors is an integer number (208320).

Almost surely, 211014300 is an apocalyptic number.

11014300 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 11014300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

11014300 is an abundant number, since it is smaller than the sum of its proper divisors (18983780).

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

11014300 is a wasteful number, since it uses less digits than its factorization.

11014300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 11014300 is about 3318.7798962872. The cubic root of 11014300 is about 222.4943397963.

Adding to 11014300 its reverse (341011), we get a palindrome (11355311).

Subtracting from 11014300 its reverse (341011), we obtain a square (10673289 = 32672).

The spelling of 11014300 in words is "eleven million, fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 17 19 20 22 25 31 34 38 44 50 55 62 68 76 85 95 100 110 124 155 170 187 190 209 220 275 310 323 340 341 374 380 418 425 475 527 550 589 620 646 682 748 775 836 850 935 950 1045 1054 1100 1178 1292 1364 1550 1615 1700 1705 1870 1900 2090 2108 2356 2635 2945 3100 3230 3410 3553 3740 4180 4675 5225 5270 5797 5890 6460 6479 6820 7106 8075 8525 9350 10013 10450 10540 11594 11780 12958 13175 14212 14725 16150 17050 17765 18700 20026 20900 23188 25916 26350 28985 29450 32300 32395 34100 35530 40052 50065 52700 57970 58900 64790 71060 88825 100130 110143 115940 129580 144925 161975 177650 200260 220286 250325 289850 323950 355300 440572 500650 550715 579700 647900 1001300 1101430 2202860 2753575 5507150 11014300