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1001000540 = 225293155673
BaseRepresentation
bin111011101010100…
…000111001011100
32120202120002121002
4323222200321130
54022224004130
6243154525432
733543235631
oct7352407134
92522502532
101001000540
11474047581
1223b296878
1312c4ca717
1496d2c188
155cd2cb45
hex3baa0e5c

1001000540 has 48 divisors (see below), whose sum is σ = 2244775680. Its totient is φ = 374115840.

The previous prime is 1001000531. The next prime is 1001000543. The reversal of 1001000540 is 450001001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001000543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9857 + ... + 45816.

It is an arithmetic number, because the mean of its divisors is an integer number (46766160).

Almost surely, 21001000540 is an apocalyptic number.

1001000540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001000540 is an abundant number, since it is smaller than the sum of its proper divisors (1243775140).

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

1001000540 is a wasteful number, since it uses less digits than its factorization.

1001000540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55742 (or 55740 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 1001000540 is about 31638.5925729954. The cubic root of 1001000540 is about 1000.3334021640. Note that the first 3 decimals are identical.

Adding to 1001000540 its reverse (450001001), we get a palindrome (1451001541).

The spelling of 1001000540 in words is "one billion, one million, five hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 29 31 58 62 116 124 145 155 290 310 580 620 899 1798 3596 4495 8990 17980 55673 111346 222692 278365 556730 1113460 1614517 1725863 3229034 3451726 6458068 6903452 8072585 8629315 16145170 17258630 32290340 34517260 50050027 100100054 200200108 250250135 500500270 1001000540