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1379405000 = 2354275881
BaseRepresentation
bin101001000111000…
…0000110011001000
310120010121000221002
41102032000303020
510311111430000
6344513234132
746116514631
oct12216006310
93503530832
101379405000
11648702436
12325b62948
1318ca1a59c
14d12b0888
15811778d5
hex52380cc8

1379405000 has 40 divisors (see below), whose sum is σ = 3231957630. Its totient is φ = 551760000.

The previous prime is 1379404993. The next prime is 1379405011. The reversal of 1379405000 is 5049731.

It can be written as a sum of positive squares in 5 ways, for example, as 284192164 + 1095212836 = 16858^2 + 33094^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 132941 + ... + 142940.

Almost surely, 21379405000 is an apocalyptic number.

1379405000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1379405000 is an abundant number, since it is smaller than the sum of its proper divisors (1852552630).

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

1379405000 is an equidigital number, since it uses as much as digits as its factorization.

1379405000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275907 (or 275888 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 1379405000 is about 37140.3419478066. The cubic root of 1379405000 is about 1113.1762500438.

The spelling of 1379405000 in words is "one billion, three hundred seventy-nine million, four hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 275881 551762 1103524 1379405 2207048 2758810 5517620 6897025 11035240 13794050 27588100 34485125 55176200 68970250 137940500 172425625 275881000 344851250 689702500 1379405000