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11142040 = 2357133061
BaseRepresentation
bin101010100000…
…001110011000
3202222002000011
4222200032120
510323021130
61034451304
7163464040
oct52401630
922862004
1011142040
1163201a8
123893b34
132401630
1416a0720
15ea152a
hexaa0398

11142040 has 64 divisors (see below), whose sum is σ = 30864960. Its totient is φ = 3525120.

The previous prime is 11142029. The next prime is 11142049. The reversal of 11142040 is 4024111.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 11142040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11142049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2110 + ... + 5170.

It is an arithmetic number, because the mean of its divisors is an integer number (482265).

Almost surely, 211142040 is an apocalyptic number.

11142040 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 11142040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15432480).

11142040 is an abundant number, since it is smaller than the sum of its proper divisors (19722920).

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

11142040 is a wasteful number, since it uses less digits than its factorization.

11142040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 11142040 is about 3337.9694426402. The cubic root of 11142040 is about 223.3511730508.

Adding to 11142040 its reverse (4024111), we get a palindrome (15166151).

The spelling of 11142040 in words is "eleven million, one hundred forty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3061 3640 6122 12244 15305 21427 24488 30610 39793 42854 61220 79586 85708 107135 122440 159172 171416 198965 214270 278551 318344 397930 428540 557102 795860 857080 1114204 1392755 1591720 2228408 2785510 5571020 11142040