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11013420 = 22351123741
BaseRepresentation
bin101010000000…
…110100101100
3202201112120110
4222000310230
510304412140
61032020020
7162420045
oct52006454
922645513
1011013420
116242600
123831610
132387c22
1416698cc
15e78380
hexa80d2c

11013420 has 144 divisors (see below), whose sum is σ = 35661024. Its totient is φ = 2534400.

The previous prime is 11013397. The next prime is 11013427. The reversal of 11013420 is 2431011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11013396 and 11013405.

It is not an unprimeable number, because it can be changed into a prime (11013427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268600 + ... + 268640.

It is an arithmetic number, because the mean of its divisors is an integer number (247646).

Almost surely, 211013420 is an apocalyptic number.

11013420 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 11013420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17830512).

11013420 is an abundant number, since it is smaller than the sum of its proper divisors (24647604).

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

11013420 is a wasteful number, since it uses less digits than its factorization.

11013420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 11013420 is about 3318.6473147956. The cubic root of 11013420 is about 222.4884141592.

Adding to 11013420 its reverse (2431011), we get a palindrome (13444431).

It can be divided in two parts, 110 and 13420, that added together give a triangular number (13530 = T164).

The spelling of 11013420 in words is "eleven million, thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 41 44 55 60 66 74 82 110 111 121 123 132 148 164 165 185 205 220 222 242 246 330 363 370 407 410 444 451 484 492 555 605 615 660 726 740 814 820 902 1110 1210 1221 1230 1353 1452 1517 1628 1804 1815 2035 2220 2255 2420 2442 2460 2706 3034 3630 4070 4477 4510 4551 4884 4961 5412 6068 6105 6765 7260 7585 8140 8954 9020 9102 9922 12210 13431 13530 14883 15170 16687 17908 18204 19844 22385 22755 24420 24805 26862 27060 29766 30340 33374 44770 45510 49610 50061 53724 59532 66748 67155 74415 83435 89540 91020 99220 100122 134310 148830 166870 183557 200244 250305 268620 297660 333740 367114 500610 550671 734228 917785 1001220 1101342 1835570 2202684 2753355 3671140 5506710 11013420