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11462668 = 2272233251
BaseRepresentation
bin101011101110…
…100000001100
3210120100211021
4223232200030
510413301133
61045403524
7166300600
oct53564014
923510737
1011462668
11651a088
123a095a4
1324b4559
141745500
15101652d
hexaee80c

11462668 has 36 divisors (see below), whose sum is σ = 23528232. Its totient is φ = 4872000.

The previous prime is 11462651. The next prime is 11462669. The reversal of 11462668 is 86626411.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11462669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45543 + ... + 45793.

It is an arithmetic number, because the mean of its divisors is an integer number (653562).

Almost surely, 211462668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11462668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11764116).

11462668 is an abundant number, since it is smaller than the sum of its proper divisors (12065564).

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

11462668 is a wasteful number, since it uses less digits than its factorization.

11462668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 493 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 11462668 is about 3385.6562140891. The cubic root of 11462668 is about 225.4733606353.

The spelling of 11462668 in words is "eleven million, four hundred sixty-two thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 14 28 49 98 196 233 251 466 502 932 1004 1631 1757 3262 3514 6524 7028 11417 12299 22834 24598 45668 49196 58483 116966 233932 409381 818762 1637524 2865667 5731334 11462668