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11426520 = 2335761223
BaseRepresentation
bin101011100101…
…101011011000
3210111112020110
4223211223120
510411122040
61044524320
7166060320
oct53455330
923445213
1011426520
1164a4a06
1239b06a0
1324a0c71
141736280
15100a980
hexae5ad8

11426520 has 128 divisors (see below), whose sum is σ = 39997440. Its totient is φ = 2557440.

The previous prime is 11426509. The next prime is 11426521. The reversal of 11426520 is 2562411.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11426521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51129 + ... + 51351.

It is an arithmetic number, because the mean of its divisors is an integer number (312480).

Almost surely, 211426520 is an apocalyptic number.

11426520 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 11426520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720).

11426520 is an abundant number, since it is smaller than the sum of its proper divisors (28570920).

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

11426520 is a wasteful number, since it uses less digits than its factorization.

11426520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 11426520 is about 3380.3135949199. The cubic root of 11426520 is about 225.2360978493.

Adding to 11426520 its reverse (2562411), we get a palindrome (13988931).

The spelling of 11426520 in words is "eleven million, four hundred twenty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 61 70 84 105 120 122 140 168 183 210 223 244 280 305 366 420 427 446 488 610 669 732 840 854 892 915 1115 1220 1281 1338 1464 1561 1708 1784 1830 2135 2230 2440 2562 2676 3122 3345 3416 3660 4270 4460 4683 5124 5352 6244 6405 6690 7320 7805 8540 8920 9366 10248 12488 12810 13380 13603 15610 17080 18732 23415 25620 26760 27206 31220 37464 40809 46830 51240 54412 62440 68015 81618 93660 95221 108824 136030 163236 187320 190442 204045 272060 285663 326472 380884 408090 476105 544120 571326 761768 816180 952210 1142652 1428315 1632360 1904420 2285304 2856630 3808840 5713260 11426520