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11286870 = 235771757
BaseRepresentation
bin101011000011…
…100101010110
3210020102200020
4223003211112
510342134440
61041530010
7164636220
oct53034526
923212606
1011286870
116409aa1
123943906
13245252a
1416db410
15ece3d0
hexac3956

11286870 has 64 divisors (see below), whose sum is σ = 31435776. Its totient is φ = 2540160.

The previous prime is 11286857. The next prime is 11286901. The reversal of 11286870 is 7868211.

It is a happy number.

11286870 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14532 + ... + 15288.

It is an arithmetic number, because the mean of its divisors is an integer number (491184).

Almost surely, 211286870 is an apocalyptic number.

11286870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11286870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15717888).

11286870 is an abundant number, since it is smaller than the sum of its proper divisors (20148906).

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

11286870 is a wasteful number, since it uses less digits than its factorization.

11286870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845.

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 11286870 is about 3359.5937254376. The cubic root of 11286870 is about 224.3147546864.

The spelling of 11286870 in words is "eleven million, two hundred eighty-six thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 71 105 142 210 213 355 426 497 710 757 994 1065 1491 1514 2130 2271 2485 2982 3785 4542 4970 5299 7455 7570 10598 11355 14910 15897 22710 26495 31794 52990 53747 79485 107494 158970 161241 268735 322482 376229 537470 752458 806205 1128687 1612410 1881145 2257374 3762290 5643435 11286870