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1008140 = 225719379
BaseRepresentation
bin11110110001000001100
31220012220112
43312020030
5224230030
633335152
711366120
oct3661014
91805815
101008140
11629481
124074b8
13293b43
141c3580
1514da95
hexf620c

1008140 has 48 divisors (see below), whose sum is σ = 2553600. Its totient is φ = 326592.

The previous prime is 1008131. The next prime is 1008157. The reversal of 1008140 is 418001.

1008140 divided by its sum of digits (14) gives a triangular number (72010 = T379).

1008140 = T43 + T44 + ... + T182.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 2471 + ... + 2849.

It is an arithmetic number, because the mean of its divisors is an integer number (53200).

21008140 is an apocalyptic number.

1008140 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 1008140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276800).

1008140 is an abundant number, since it is smaller than the sum of its proper divisors (1545460).

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

1008140 is a wasteful number, since it uses less digits than its factorization.

1008140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1008140 is about 1004.0617510890. The cubic root of 1008140 is about 100.2706004269.

The spelling of 1008140 in words is "one million, eight thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 379 380 532 665 758 1330 1516 1895 2653 2660 3790 5306 7201 7580 10612 13265 14402 26530 28804 36005 50407 53060 72010 100814 144020 201628 252035 504070 1008140