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1000140 = 223579211
BaseRepresentation
bin11110100001011001100
31212210221020
43310023030
5224001030
633234140
711333601
oct3641314
91783836
101000140
11623469
12402950
132902cb
141c06a8
1514b510
hexf42cc

1000140 has 48 divisors (see below), whose sum is σ = 2849280. Its totient is φ = 262080.

The previous prime is 1000133. The next prime is 1000151. The reversal of 1000140 is 410001.

1000140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4635 + ... + 4845.

It is an arithmetic number, because the mean of its divisors is an integer number (59360).

21000140 is an apocalyptic number.

1000140 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 1000140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424640).

1000140 is an abundant number, since it is smaller than the sum of its proper divisors (1849140).

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

1000140 is a wasteful number, since it uses less digits than its factorization.

1000140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1000140 is about 1000.0699975502. The cubic root of 1000140 is about 100.0046664489.

Adding to 1000140 its reverse (410001), we get a palindrome (1410141).

The spelling of 1000140 in words is "one million, one hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 211 237 316 395 422 474 633 790 844 948 1055 1185 1266 1580 2110 2370 2532 3165 4220 4740 6330 12660 16669 33338 50007 66676 83345 100014 166690 200028 250035 333380 500070 1000140