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1006403764 = 221132226557
BaseRepresentation
bin111011111111001…
…000000010110100
32121010201121102111
4323333020002310
54030114410024
6243510420404
733640201522
oct7377100264
92533647374
101006403764
114770a8053
12241061704
1313066cbb2
1497937312
155d548a94
hex3bfc80b4

1006403764 has 12 divisors (see below), whose sum is σ = 1776793284. Its totient is φ = 498748544.

The previous prime is 1006403759. The next prime is 1006403767. The reversal of 1006403764 is 4673046001.

It can be written as a sum of positive squares in 2 ways, for example, as 71267364 + 935136400 = 8442^2 + 30580^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006403767) 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, 1112827 + ... + 1113730.

It is an arithmetic number, because the mean of its divisors is an integer number (148066107).

Almost surely, 21006403764 is an apocalyptic number.

It is an amenable number.

1006403764 is a deficient number, since it is larger than the sum of its proper divisors (770389520).

1006403764 is a wasteful number, since it uses less digits than its factorization.

1006403764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226674 (or 2226672 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 1006403764 is about 31723.8674187117. The cubic root of 1006403764 is about 1002.1300476755.

Adding to 1006403764 its reverse (4673046001), we get a palindrome (5679449765).

The spelling of 1006403764 in words is "one billion, six million, four hundred three thousand, seven hundred sixty-four".

Divisors: 1 2 4 113 226 452 2226557 4453114 8906228 251600941 503201882 1006403764