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1006397380 = 225283717737
BaseRepresentation
bin111011111111000…
…110011111000100
32121010201021200001
4323333012133010
54030114204010
6243510331044
733640144102
oct7377063704
92533637601
101006397380
114770a327a
12241059a84
1313066a011
1497934c72
155d546c3a
hex3bfc67c4

1006397380 has 24 divisors (see below), whose sum is σ = 2114298648. Its totient is φ = 402394368.

The previous prime is 1006397369. The next prime is 1006397383. The reversal of 1006397380 is 837936001.

It can be written as a sum of positive squares in 4 ways, for example, as 53934336 + 952463044 = 7344^2 + 30862^2 .

It is not an unprimeable number, because it can be changed into a prime (1006397383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47872 + ... + 65608.

It is an arithmetic number, because the mean of its divisors is an integer number (88095777).

Almost surely, 21006397380 is an apocalyptic number.

1006397380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006397380 is an abundant number, since it is smaller than the sum of its proper divisors (1107901268).

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

1006397380 is a wasteful number, since it uses less digits than its factorization.

1006397380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20583 (or 20581 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 1006397380 is about 31723.7668003029. The cubic root of 1006397380 is about 1002.1279287076.

The spelling of 1006397380 in words is "one billion, six million, three hundred ninety-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 2837 5674 11348 14185 17737 28370 35474 56740 70948 88685 177370 354740 50319869 100639738 201279476 251599345 503198690 1006397380