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193440080 = 2452418001
BaseRepresentation
bin10111000011110…
…10100101010000
3111110222202220102
423201322211100
5344010040310
631110031532
74536133151
oct1341724520
9443882812
10193440080
119a212439
12549485a8
13310cb4b2
141b995928
1511eb08a5
hexb87a950

193440080 has 20 divisors (see below), whose sum is σ = 449748372. Its totient is φ = 77376000.

The previous prime is 193440047. The next prime is 193440131. The reversal of 193440080 is 80044391.

It can be written as a sum of positive squares in 2 ways, for example, as 135862336 + 57577744 = 11656^2 + 7588^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

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 3 ways as a sum of consecutive naturals, for example, 1208921 + ... + 1209080.

Almost surely, 2193440080 is an apocalyptic number.

193440080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

193440080 is an abundant number, since it is smaller than the sum of its proper divisors (256308292).

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

193440080 is a wasteful number, since it uses less digits than its factorization.

193440080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418014 (or 2418008 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 193440080 is about 13908.2737965572. The cubic root of 193440080 is about 578.3385667449.

The spelling of 193440080 in words is "one hundred ninety-three million, four hundred forty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2418001 4836002 9672004 12090005 19344008 24180010 38688016 48360020 96720040 193440080