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1005940 = 225135373
BaseRepresentation
bin11110101100101110100
31220002220001
43311211310
5224142230
633321044
711356525
oct3654564
91802801
101005940
11627861
12406184
13292b40
141c284c
1514d0ca
hexf5974

1005940 has 48 divisors (see below), whose sum is σ = 2349648. Its totient is φ = 359424.

The previous prime is 1005937. The next prime is 1005959. The reversal of 1005940 is 495001.

It can be written as a sum of positive squares in 8 ways, for example, as 13924 + 992016 = 118^2 + 996^2 .

It is a congruent number.

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, 13744 + ... + 13816.

It is an arithmetic number, because the mean of its divisors is an integer number (48951).

21005940 is an apocalyptic number.

1005940 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 1005940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174824).

1005940 is an abundant number, since it is smaller than the sum of its proper divisors (1343708).

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

1005940 is a wasteful number, since it uses less digits than its factorization.

1005940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 1005940 is about 1002.9656026006. The cubic root of 1005940 is about 100.1976092486.

The spelling of 1005940 in words is "one million, five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 73 106 130 146 212 260 265 292 365 530 689 730 949 1060 1378 1460 1898 2756 3445 3796 3869 4745 6890 7738 9490 13780 15476 18980 19345 38690 50297 77380 100594 201188 251485 502970 1005940