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1823980032 = 2934761103
BaseRepresentation
bin110110010110111…
…1011101000000000
311201010010210020000
41230231323220000
512213414330112
6500554120000
763125401020
oct15455735000
94633123200
101823980032
11856653216
1242aa20000
13230b67c34
14134359a80
15aa1e37dc
hex6cb7ba00

1823980032 has 400 divisors, whose sum is σ = 6385222272. Its totient is φ = 507617280.

The previous prime is 1823980019. The next prime is 1823980033. The reversal of 1823980032 is 2300893281.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1823980033) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17708493 + ... + 17708595.

Almost surely, 21823980032 is an apocalyptic number.

1823980032 is a gapful number since it is divisible by the number (12) 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 1823980032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192611136).

1823980032 is an abundant number, since it is smaller than the sum of its proper divisors (4561242240).

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

1823980032 is an equidigital number, since it uses as much as digits as its factorization.

1823980032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1823980032 is about 42708.0792356669. The cubic root of 1823980032 is about 1221.8184902597.

The spelling of 1823980032 in words is "one billion, eight hundred twenty-three million, nine hundred eighty thousand, thirty-two".