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805945140 = 2234572111371
BaseRepresentation
bin110000000010011…
…011111100110100
32002011112020220000
4300002123330310
53122310221030
6211550111300
725654264200
oct6002337464
92064466800
10805945140
11383a31570
121a5aab530
13cac84c20
1479075b00
154ab4d860
hex3009bf34

805945140 has 720 divisors, whose sum is σ = 3503896704. Its totient is φ = 152409600.

The previous prime is 805945117. The next prime is 805945141. The reversal of 805945140 is 41549508.

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 = 805945095 and 805945104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (805945141) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11351305 + ... + 11351375.

Almost surely, 2805945140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 805945140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751948352).

805945140 is an abundant number, since it is smaller than the sum of its proper divisors (2697951564).

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

805945140 is a wasteful number, since it uses less digits than its factorization.

805945140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 805945140 is about 28389.1729361741. The cubic root of 805945140 is about 930.6116683723.

The spelling of 805945140 in words is "eight hundred five million, nine hundred forty-five thousand, one hundred forty".