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1382355000 = 2332541317139
BaseRepresentation
bin101001001100101…
…0001000000111000
310120100010220120100
41102121101000320
510312340330000
6345100355400
746153552335
oct12231210070
93510126510
101382355000
1164a337854
12326b45b60
13190511250
14d183b98c
158155ba00
hex52651038

1382355000 has 480 divisors, whose sum is σ = 5372967600. Its totient is φ = 317952000.

The previous prime is 1382354959. The next prime is 1382355049. The reversal of 1382355000 is 5532831.

1382355000 is a `hidden beast` number, since 138 + 23 + 5 + 500 + 0 = 666.

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 9944931 + ... + 9945069.

Almost surely, 21382355000 is an apocalyptic number.

1382355000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1382355000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686483800).

1382355000 is an abundant number, since it is smaller than the sum of its proper divisors (3990612600).

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

1382355000 is a wasteful number, since it uses less digits than its factorization.

1382355000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1382355000 is about 37180.0349650185. The cubic root of 1382355000 is about 1113.9692324650.

Adding to 1382355000 its reverse (5532831), we get a palindrome (1387887831).

The spelling of 1382355000 in words is "one billion, three hundred eighty-two million, three hundred fifty-five thousand".