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11459140 = 22572111063
BaseRepresentation
bin101011101101…
…101001000100
3210120011222121
4223231221010
510413143030
61045335324
7166254400
oct53555104
923504877
1011459140
116517470
123a07544
1324b2a74
141744100
15101547a
hexaeda44

11459140 has 72 divisors (see below), whose sum is σ = 30566592. Its totient is φ = 3568320.

The previous prime is 11459137. The next prime is 11459177. The reversal of 11459140 is 4195411.

11459140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10249 + ... + 11311.

It is an arithmetic number, because the mean of its divisors is an integer number (424536).

Almost surely, 211459140 is an apocalyptic number.

11459140 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 11459140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15283296).

11459140 is an abundant number, since it is smaller than the sum of its proper divisors (19107452).

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

11459140 is a wasteful number, since it uses less digits than its factorization.

11459140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 11459140 is about 3385.1351523979. The cubic root of 11459140 is about 225.4502260666.

The spelling of 11459140 in words is "eleven million, four hundred fifty-nine thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1063 1078 1540 2126 2156 2695 4252 5315 5390 7441 10630 10780 11693 14882 21260 23386 29764 37205 46772 52087 58465 74410 81851 104174 116930 148820 163702 208348 233860 260435 327404 409255 520870 572957 818510 1041740 1145914 1637020 2291828 2864785 5729570 11459140