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11242420 = 2257131613
BaseRepresentation
bin101010111000…
…101110110100
3210011011200221
4222320232310
510334224140
61040544124
7164362510
oct52705664
923134627
1011242420
116389662
123922044
132438227
1416c9140
15ec114a
hexab8bb4

11242420 has 48 divisors (see below), whose sum is σ = 27232128. Its totient is φ = 3818880.

The previous prime is 11242417. The next prime is 11242463. The reversal of 11242420 is 2424211.

It is a junction number, because it is equal to n+sod(n) for n = 11242394 and 11242403.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18034 + ... + 18646.

It is an arithmetic number, because the mean of its divisors is an integer number (567336).

Almost surely, 211242420 is an apocalyptic number.

11242420 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 11242420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13616064).

11242420 is an abundant number, since it is smaller than the sum of its proper divisors (15989708).

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

11242420 is a wasteful number, since it uses less digits than its factorization.

11242420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 11242420 is about 3352.9718161655. The cubic root of 11242420 is about 224.0199015056.

Adding to 11242420 its reverse (2424211), we get a palindrome (13666631).

It can be divided in two parts, 1 and 1242420, that added together give a palindrome (1242421).

The spelling of 11242420 in words is "eleven million, two hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 131 140 262 524 613 655 917 1226 1310 1834 2452 2620 3065 3668 4291 4585 6130 8582 9170 12260 17164 18340 21455 42910 80303 85820 160606 321212 401515 562121 803030 1124242 1606060 2248484 2810605 5621210 11242420