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11260040 = 23511157163
BaseRepresentation
bin101010111101…
…000010001000
3210012001212112
4222331002020
510340310130
61041201452
7164465051
oct52750210
923161775
1011260040
1163a0920
123930288
13244325c
1416d1728
15ec6495
hexabd088

11260040 has 64 divisors (see below), whose sum is σ = 27984960. Its totient is φ = 4043520.

The previous prime is 11260021. The next prime is 11260049. The reversal of 11260040 is 4006211.

11260040 = T95 + T96 + ... + T408.

It is a junction number, because it is equal to n+sod(n) for n = 11259997 and 11260024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11260049) 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, 68999 + ... + 69161.

It is an arithmetic number, because the mean of its divisors is an integer number (437265).

Almost surely, 211260040 is an apocalyptic number.

11260040 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 11260040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13992480).

11260040 is an abundant number, since it is smaller than the sum of its proper divisors (16724920).

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

11260040 is a wasteful number, since it uses less digits than its factorization.

11260040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 338 counting only the distinct ones).

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

The square root of 11260040 is about 3355.5983073068. The cubic root of 11260040 is about 224.1368742547.

Adding to 11260040 its reverse (4006211), we get a palindrome (15266251).

The spelling of 11260040 in words is "eleven million, two hundred sixty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 157 163 220 314 326 440 628 652 785 815 1256 1304 1570 1630 1727 1793 3140 3260 3454 3586 6280 6520 6908 7172 8635 8965 13816 14344 17270 17930 25591 34540 35860 51182 69080 71720 102364 127955 204728 255910 281501 511820 563002 1023640 1126004 1407505 2252008 2815010 5630020 11260040