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1381000 = 23531381
BaseRepresentation
bin101010001001010001000
32121011101011
411101022020
5323143000
645333304
714511145
oct5211210
92534334
101381000
11863625
12567234
1339477a
1427d3cc
151c42ba
hex151288

1381000 has 32 divisors (see below), whose sum is σ = 3233880. Its totient is φ = 552000.

The previous prime is 1380997. The next prime is 1381027. The reversal of 1381000 is 1831.

It can be written as a sum of positive squares in 4 ways, for example, as 376996 + 1004004 = 614^2 + 1002^2 .

It is a super-2 number, since 2×13810002 = 3814322000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 310 + ... + 1690.

21381000 is an apocalyptic number.

1381000 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 1381000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616940).

1381000 is an abundant number, since it is smaller than the sum of its proper divisors (1852880).

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

1381000 is a wasteful number, since it uses less digits than its factorization.

1381000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1381000 is about 1175.1595636338. The cubic root of 1381000 is about 111.3605138397.

Adding to 1381000 its reverse (1831), we get a palindrome (1382831).

The spelling of 1381000 in words is "one million, three hundred eighty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1381 2762 5524 6905 11048 13810 27620 34525 55240 69050 138100 172625 276200 345250 690500 1381000