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1802831040 = 263353153127
BaseRepresentation
bin110101101110101…
…0000010011000000
311122122100022021000
41223131100103000
512143011043130
6454520532000
762450545113
oct15335202300
94578308230
101802831040
1184571870a
12423921000
1322967183a
1413161257a
15a8417260
hex6b7504c0

1802831040 has 448 divisors, whose sum is σ = 6741688320. Its totient is φ = 452874240.

The previous prime is 1802830993. The next prime is 1802831059. The reversal of 1802831040 is 401382081.

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

It is a junction number, because it is equal to n+sod(n) for n = 1802830995 and 1802831013.

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 63 ways as a sum of consecutive naturals, for example, 14195457 + ... + 14195583.

Almost surely, 21802831040 is an apocalyptic number.

1802831040 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 1802831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3370844160).

1802831040 is an abundant number, since it is smaller than the sum of its proper divisors (4938857280).

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

1802831040 is a wasteful number, since it uses less digits than its factorization.

1802831040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 221 counting only the distinct ones).

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

The square root of 1802831040 is about 42459.7578890883. The cubic root of 1802831040 is about 1217.0778042144.

The spelling of 1802831040 in words is "one billion, eight hundred two million, eight hundred thirty-one thousand, forty".