Search a number
-
+
1001100240 = 2432571391429
BaseRepresentation
bin111011101010111…
…001001111010000
32120202202011100200
4323222321033100
54022240201430
6243201015200
733544132410
oct7352711720
92522664320
101001100240
11474105478
1223b324500
1312c533c0a
1496d56640
155cd4c460
hex3bab93d0

1001100240 has 240 divisors, whose sum is σ = 3872668800. Its totient is φ = 227017728.

The previous prime is 1001100229. The next prime is 1001100251. The reversal of 1001100240 is 420011001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1001100229) and next prime (1001100251).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 699846 + ... + 701274.

It is an arithmetic number, because the mean of its divisors is an integer number (16136120).

Almost surely, 21001100240 is an apocalyptic number.

1001100240 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 1001100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936334400).

1001100240 is an abundant number, since it is smaller than the sum of its proper divisors (2871568560).

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

1001100240 is a wasteful number, since it uses less digits than its factorization.

1001100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1001100240 is about 31640.1681411462. The cubic root of 1001100240 is about 1000.3666122457.

Adding to 1001100240 its reverse (420011001), we get a palindrome (1421111241).

The spelling of 1001100240 in words is "one billion, one million, one hundred thousand, two hundred forty".