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1795440640 = 2145731101
BaseRepresentation
bin110101100000100…
…0100000000000000
311122010102211112111
41223001010000000
512134113100030
6454054305104
762330664550
oct15301040000
94563384474
101795440640
11841530144
12421358194
13227c84a16
1413064b160
15a795762a
hex6b044000

1795440640 has 240 divisors, whose sum is σ = 5133671424. Its totient is φ = 589824000.

The previous prime is 1795440637. The next prime is 1795440643. The reversal of 1795440640 is 460445971.

It is an interprime number because it is at equal distance from previous prime (1795440637) and next prime (1795440643).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1795440593 and 1795440602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1795440643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17776590 + ... + 17776690.

Almost surely, 21795440640 is an apocalyptic number.

1795440640 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 1795440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566835712).

1795440640 is an abundant number, since it is smaller than the sum of its proper divisors (3338230784).

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

1795440640 is an equidigital number, since it uses as much as digits as its factorization.

1795440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 1795440640 is about 42372.6402292800. The cubic root of 1795440640 is about 1215.4124585423.

The spelling of 1795440640 in words is "one billion, seven hundred ninety-five million, four hundred forty thousand, six hundred forty".