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2835091840 = 27571921753
BaseRepresentation
bin1010100011111100…
…0001000110000000
321022120201120212111
42220333001012000
521301240414330
61145153505104
7130153611610
oct25077010600
97276646774
102835091840
111225376509
12671572194
13362495a49
141cc75aa40
15118d6c32a
hexa8fc1180

2835091840 has 192 divisors, whose sum is σ = 8179673760. Its totient is φ = 920346624.

The previous prime is 2835091829. The next prime is 2835091843. The reversal of 2835091840 is 481905382.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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 = 2835091793 and 2835091802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2835091843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1616404 + ... + 1618156.

Almost surely, 22835091840 is an apocalyptic number.

2835091840 is a gapful number since it is divisible by the number (20) 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 2835091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4089836880).

2835091840 is an abundant number, since it is smaller than the sum of its proper divisors (5344581920).

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

2835091840 is a wasteful number, since it uses less digits than its factorization.

2835091840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 2835091840 is about 53245.5804738760. The cubic root of 2835091840 is about 1415.3234769287.

The spelling of 2835091840 in words is "two billion, eight hundred thirty-five million, ninety-one thousand, eight hundred forty".