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11232420 = 22351959167
BaseRepresentation
bin101010110110…
…010010100100
3210010122222120
4222312102210
510333414140
61040425540
7164321403
oct52662244
923118876
1011232420
1163820a1
1239182b0
132433804
1416c563a
15ebd1d0
hexab64a4

11232420 has 96 divisors (see below), whose sum is σ = 33868800. Its totient is φ = 2772864.

The previous prime is 11232409. The next prime is 11232433. The reversal of 11232420 is 2423211.

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 11232420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67177 + ... + 67343.

It is an arithmetic number, because the mean of its divisors is an integer number (352800).

Almost surely, 211232420 is an apocalyptic number.

11232420 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 11232420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

11232420 is an abundant number, since it is smaller than the sum of its proper divisors (22636380).

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

11232420 is a wasteful number, since it uses less digits than its factorization.

11232420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 11232420 is about 3351.4802699703. The cubic root of 11232420 is about 223.9534607822.

Adding to 11232420 its reverse (2423211), we get a palindrome (13655631).

The spelling of 11232420 in words is "eleven million, two hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 59 60 76 95 114 118 167 177 190 228 236 285 295 334 354 380 501 570 590 668 708 835 885 1002 1121 1140 1180 1670 1770 2004 2242 2505 3173 3340 3363 3540 4484 5010 5605 6346 6726 9519 9853 10020 11210 12692 13452 15865 16815 19038 19706 22420 29559 31730 33630 38076 39412 47595 49265 59118 63460 67260 95190 98530 118236 147795 187207 190380 197060 295590 374414 561621 591180 748828 936035 1123242 1872070 2246484 2808105 3744140 5616210 11232420