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11132420 = 2251347911
BaseRepresentation
bin101010011101…
…111000000100
3202221120210212
4222131320010
510322214140
61034334552
7163424015
oct52357004
922846725
1011132420
116313a52
12388a458
1323ca140
14169b00c
15e9d765
hexa9de04

11132420 has 48 divisors (see below), whose sum is σ = 25740288. Its totient is φ = 4018560.

The previous prime is 11132419. The next prime is 11132447. The reversal of 11132420 is 2423111.

It is a junction number, because it is equal to n+sod(n) for n = 11132395 and 11132404.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 11765 + ... + 12675.

It is an arithmetic number, because the mean of its divisors is an integer number (536256).

Almost surely, 211132420 is an apocalyptic number.

11132420 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 11132420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12870144).

11132420 is an abundant number, since it is smaller than the sum of its proper divisors (14607868).

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

11132420 is a wasteful number, since it uses less digits than its factorization.

11132420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 11132420 is about 3336.5281356524. The cubic root of 11132420 is about 223.2868743240.

Adding to 11132420 its reverse (2423111), we get a palindrome (13555531).

The spelling of 11132420 in words is "eleven million, one hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 94 130 188 235 260 470 611 911 940 1222 1822 2444 3055 3644 4555 6110 9110 11843 12220 18220 23686 42817 47372 59215 85634 118430 171268 214085 236860 428170 556621 856340 1113242 2226484 2783105 5566210 11132420