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1000242040 = 23576415573
BaseRepresentation
bin111011100111100…
…111101101111000
32120201010120010111
4323213213231320
54022030221130
6243130354104
733533626360
oct7347475570
92521116114
101000242040
11473679716
1223ab8b934
1312c2c33c5
1496bb19a0
155cc2d02a
hex3b9e7b78

1000242040 has 64 divisors (see below), whose sum is σ = 2576525760. Its totient is φ = 342343680.

The previous prime is 1000242037. The next prime is 1000242059. The reversal of 1000242040 is 402420001.

It is a self number, because there is not a number n which added to its sum of digits gives 1000242040.

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, 176694 + ... + 182266.

It is an arithmetic number, because the mean of its divisors is an integer number (40258215).

Almost surely, 21000242040 is an apocalyptic number.

1000242040 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 1000242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288262880).

1000242040 is an abundant number, since it is smaller than the sum of its proper divisors (1576283720).

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

1000242040 is a wasteful number, since it uses less digits than its factorization.

1000242040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6232 (or 6228 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 1000242040 is about 31626.6033585651. The cubic root of 1000242040 is about 1000.0806734916.

Adding to 1000242040 its reverse (402420001), we get a palindrome (1402662041).

The spelling of 1000242040 in words is "one billion, two hundred forty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 641 1282 2564 3205 4487 5128 5573 6410 8974 11146 12820 17948 22292 22435 25640 27865 35896 39011 44584 44870 55730 78022 89740 111460 156044 179480 195055 222920 312088 390110 780220 1560440 3572293 7144586 14289172 17861465 25006051 28578344 35722930 50012102 71445860 100024204 125030255 142891720 200048408 250060510 500121020 1000242040