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1823437980 = 2235572131931
BaseRepresentation
bin110110010101111…
…0111010010011100
311201002010020200000
41230223313102130
512213300003410
6500534334300
763120652500
oct15453672234
94632106600
101823437980
11856312a41
1242a7ba390
13230a082b0
14134258300
15aa137dc0
hex6caf749c

1823437980 has 864 divisors, whose sum is σ = 7807887360. Its totient is φ = 352719360.

The previous prime is 1823437939. The next prime is 1823437997. The reversal of 1823437980 is 897343281.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 58820565 + ... + 58820595.

Almost surely, 21823437980 is an apocalyptic number.

1823437980 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 1823437980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3903943680).

1823437980 is an abundant number, since it is smaller than the sum of its proper divisors (5984449380).

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

1823437980 is a wasteful number, since it uses less digits than its factorization.

1823437980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1823437980 is about 42701.7327517280. The cubic root of 1823437980 is about 1221.6974445680.

The spelling of 1823437980 in words is "one billion, eight hundred twenty-three million, four hundred thirty-seven thousand, nine hundred eighty".