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11142640 = 245314493
BaseRepresentation
bin101010100000…
…010111110000
3202222002211101
4222200113300
510323031030
61034454144
7163465555
oct52402760
922862741
1011142640
1163206a3
123894354
1324019a2
1416a0a2c
15ea17ca
hexaa05f0

11142640 has 40 divisors (see below), whose sum is σ = 26748288. Its totient is φ = 4312320.

The previous prime is 11142631. The next prime is 11142653. The reversal of 11142640 is 4624111.

It is a tau number, because it is divible by the number of its divisors (40).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234 + ... + 4726.

Almost surely, 211142640 is an apocalyptic number.

11142640 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 11142640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13374144).

11142640 is an abundant number, since it is smaller than the sum of its proper divisors (15605648).

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

11142640 is a wasteful number, since it uses less digits than its factorization.

11142640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4537 (or 4531 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 11142640 is about 3338.0593164292. The cubic root of 11142640 is about 223.3551821401.

Adding to 11142640 its reverse (4624111), we get a palindrome (15766751).

The spelling of 11142640 in words is "eleven million, one hundred forty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 4493 8986 17972 22465 35944 44930 71888 89860 139283 179720 278566 359440 557132 696415 1114264 1392830 2228528 2785660 5571320 11142640