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11269840 = 245179787
BaseRepresentation
bin101010111111…
…011011010000
3210012120022111
4222333123100
510341113330
61041315104
7164535451
oct52773320
923176274
1011269840
1163a821a
123935a94
13244785a
1416d5128
15ec932a
hexabf6d0

11269840 has 40 divisors (see below), whose sum is σ = 26382240. Its totient is φ = 4477056.

The previous prime is 11269807. The next prime is 11269847. The reversal of 11269840 is 4896211.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11269847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13927 + ... + 14713.

It is an arithmetic number, because the mean of its divisors is an integer number (659556).

Almost surely, 211269840 is an apocalyptic number.

11269840 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 11269840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13191120).

11269840 is an abundant number, since it is smaller than the sum of its proper divisors (15112400).

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

11269840 is a wasteful number, since it uses less digits than its factorization.

11269840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 11269840 is about 3357.0582360156. The cubic root of 11269840 is about 224.2018800757.

The spelling of 11269840 in words is "eleven million, two hundred sixty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 179 358 716 787 895 1432 1574 1790 2864 3148 3580 3935 6296 7160 7870 12592 14320 15740 31480 62960 140873 281746 563492 704365 1126984 1408730 2253968 2817460 5634920 11269840