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11112420 = 223511113149
BaseRepresentation
bin101010011000…
…111111100100
3202220120101010
4222120333210
510321044140
61034102220
7163311504
oct52307744
922816333
1011112420
1162aaa20
12387a970
1323c0cc7
141693a04
15e97880
hexa98fe4

11112420 has 96 divisors (see below), whose sum is σ = 34473600. Its totient is φ = 2652160.

The previous prime is 11112403. The next prime is 11112421. The reversal of 11112420 is 2421111.

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 = 11112396 and 11112405.

It is not an unprimeable number, because it can be changed into a prime (11112421) 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, 74506 + ... + 74654.

It is an arithmetic number, because the mean of its divisors is an integer number (359100).

Almost surely, 211112420 is an apocalyptic number.

11112420 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 11112420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236800).

11112420 is an abundant number, since it is smaller than the sum of its proper divisors (23361180).

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

11112420 is a wasteful number, since it uses less digits than its factorization.

11112420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 11112420 is about 3333.5296608850. The cubic root of 11112420 is about 223.1530784835.

Adding to 11112420 its reverse (2421111), we get a palindrome (13533531).

The spelling of 11112420 in words is "eleven million, one hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 113 132 149 165 220 226 298 330 339 447 452 565 596 660 678 745 894 1130 1243 1356 1490 1639 1695 1788 2235 2260 2486 2980 3278 3390 3729 4470 4917 4972 6215 6556 6780 7458 8195 8940 9834 12430 14916 16390 16837 18645 19668 24585 24860 32780 33674 37290 49170 50511 67348 74580 84185 98340 101022 168370 185207 202044 252555 336740 370414 505110 555621 740828 926035 1010220 1111242 1852070 2222484 2778105 3704140 5556210 11112420