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11166464 = 2853823
BaseRepresentation
bin101010100110…
…001100000000
3210000022111202
4222212030000
510324311324
61035200332
7163625201
oct52461400
923008452
1011166464
116337591
1238a60a8
13240c79a
1416a95a8
15ea88ae
hexaa6300

11166464 has 36 divisors (see below), whose sum is σ = 22737456. Its totient is φ = 5471232.

The previous prime is 11166461. The next prime is 11166469. The reversal of 11166464 is 46466111.

11166464 is nontrivially palindromic in base 15.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (11166461) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13157 + ... + 13979.

It is an arithmetic number, because the mean of its divisors is an integer number (631596).

Almost surely, 211166464 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 11166464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11368728).

11166464 is an abundant number, since it is smaller than the sum of its proper divisors (11570992).

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

11166464 is an frugal number, since it uses more digits than its factorization.

11166464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 878 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 11166464 is about 3341.6259515392. The cubic root of 11166464 is about 223.5142535373.

The spelling of 11166464 in words is "eleven million, one hundred sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 823 848 1646 1696 3292 3392 6584 6784 13168 13568 26336 43619 52672 87238 105344 174476 210688 348952 697904 1395808 2791616 5583232 11166464