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1004140240 = 24512551753
BaseRepresentation
bin111011110110011…
…111011011010000
32120222110121110021
4323312133123100
54024024441430
6243350113224
733612023365
oct7366373320
92528417407
101004140240
114758a1474
1224034b814
1313005982c
149750846c
155d24d07a
hex3bd9f6d0

1004140240 has 20 divisors (see below), whose sum is σ = 2334626244. Its totient is φ = 401656064.

The previous prime is 1004140231. The next prime is 1004140271. The reversal of 1004140240 is 420414001.

It can be written as a sum of positive squares in 2 ways, for example, as 737013904 + 267126336 = 27148^2 + 16344^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6275797 + ... + 6275956.

Almost surely, 21004140240 is an apocalyptic number.

1004140240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004140240 is an abundant number, since it is smaller than the sum of its proper divisors (1330486004).

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

1004140240 is a wasteful number, since it uses less digits than its factorization.

1004140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12551766 (or 12551760 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1004140240 is about 31688.1719258148. The cubic root of 1004140240 is about 1001.3781797480.

Adding to 1004140240 its reverse (420414001), we get a palindrome (1424554241).

The spelling of 1004140240 in words is "one billion, four million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 12551753 25103506 50207012 62758765 100414024 125517530 200828048 251035060 502070120 1004140240