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10803594240 = 210335312521
BaseRepresentation
bin10100000111111000…
…11100010000000000
31000212220212110012000
422003330130100000
5134111210003430
64544010304000
7531503015205
oct120374342000
930786773160
1010803594240
11464439028a
122116128000
13103232b31a
14746b85cac
154336e4e60
hex283f1c400

10803594240 has 352 divisors, whose sum is σ = 39648261120. Its totient is φ = 2786918400.

The previous prime is 10803594239. The next prime is 10803594251. The reversal of 10803594240 is 4249530801.

It is a super-2 number, since 2×108035942402 (a number of 21 digits) contains 22 as substring.

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 = 10803594195 and 10803594204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4284180 + ... + 4286700.

Almost surely, 210803594240 is an apocalyptic number.

10803594240 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 10803594240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19824130560).

10803594240 is an abundant number, since it is smaller than the sum of its proper divisors (28844666880).

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

10803594240 is a wasteful number, since it uses less digits than its factorization.

10803594240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2586 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10803594240 in words is "ten billion, eight hundred three million, five hundred ninety-four thousand, two hundred forty".