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1813402080 = 2536572221
BaseRepresentation
bin110110000010110…
…0101000111100000
311200101020101000000
41230011211013200
512203212331310
6455535300000
762636443350
oct15405450740
94611211000
101813402080
11850688906
1242737a600
1322b9032a9
14132ba4b60
15a93044c0
hex6c1651e0

1813402080 has 336 divisors, whose sum is σ = 7344225504. Its totient is φ = 414305280.

The previous prime is 1813402069. The next prime is 1813402091. The reversal of 1813402080 is 802043181.

1813402080 is a `hidden beast` number, since 181 + 3 + 402 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1813402069) and next prime (1813402091).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 815370 + ... + 817590.

It is an arithmetic number, because the mean of its divisors is an integer number (21857814).

Almost surely, 21813402080 is an apocalyptic number.

1813402080 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 1813402080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672112752).

1813402080 is an abundant number, since it is smaller than the sum of its proper divisors (5530823424).

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

1813402080 is an equidigital number, since it uses as much as digits as its factorization.

1813402080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1813402080 is about 42584.0589892509. The cubic root of 1813402080 is about 1219.4519799721.

The spelling of 1813402080 in words is "one billion, eight hundred thirteen million, four hundred two thousand, eighty".