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1855841040 = 2432517316773
BaseRepresentation
bin110111010011101…
…1110001100010000
311210100002111022100
41232213132030100
512300043403130
6504053040400
763663250164
oct15647361420
94710074270
101855841040
11872634929
12439626100
13237641cc1
14138690ca4
15acdd8c60
hex6e9de310

1855841040 has 480 divisors, whose sum is σ = 7008408576. Its totient is φ = 437944320.

The previous prime is 1855841021. The next prime is 1855841059. The reversal of 1855841040 is 401485581.

1855841040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1855841021) and next prime (1855841059).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1855840986 and 1855841004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25422444 + ... + 25422516.

Almost surely, 21855841040 is an apocalyptic number.

1855841040 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 1855841040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3504204288).

1855841040 is an abundant number, since it is smaller than the sum of its proper divisors (5152567536).

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

1855841040 is a wasteful number, since it uses less digits than its factorization.

1855841040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 1855841040 is about 43079.4735343876. The cubic root of 1855841040 is about 1228.8916448271.

It can be divided in two parts, 185584 and 1040, that added together give a square (186624 = 4322).

The spelling of 1855841040 in words is "one billion, eight hundred fifty-five million, eight hundred forty-one thousand, forty".