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1106006364 = 223230722399
BaseRepresentation
bin100000111101100…
…0101000101011100
32212002010221111200
41001323011011130
54231114200424
6301425315500
736256620231
oct10173050534
92762127450
101106006364
11518347a51
1226a495b90
131481a4848
14a6c63788
15671708c9
hex41ec515c

1106006364 has 18 divisors (see below), whose sum is σ = 2795738400. Its totient is φ = 368668776.

The previous prime is 1106006353. The next prime is 1106006381. The reversal of 1106006364 is 4636006011.

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15361164 + ... + 15361235.

It is an arithmetic number, because the mean of its divisors is an integer number (155318800).

Almost surely, 21106006364 is an apocalyptic number.

It is an amenable number.

1106006364 is an abundant number, since it is smaller than the sum of its proper divisors (1689732036).

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

1106006364 is a wasteful number, since it uses less digits than its factorization.

1106006364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30722409 (or 30722404 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1106006364 is about 33256.6739768125. The cubic root of 1106006364 is about 1034.1555697272.

It can be divided in two parts, 110600 and 6364, that added together give a square (116964 = 3422).

The spelling of 1106006364 in words is "one billion, one hundred six million, six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 30722399 61444798 92167197 122889596 184334394 276501591 368668788 553003182 1106006364