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8241735140 = 2251821722621
BaseRepresentation
bin1111010110011111…
…01110010111100100
3210021101021112011122
413223033232113210
5113334341011030
63441452553112
7411144410222
oct75317562744
923241245148
108241735140
11354a276661
121720182798
13a14650972
14582831b12
1533384a8e5
hex1eb3ee5e4

8241735140 has 24 divisors (see below), whose sum is σ = 17309359032. Its totient is φ = 3296367360.

The previous prime is 8241735121. The next prime is 8241735169. The reversal of 8241735140 is 415371428.

It can be written as a sum of positive squares in 4 ways, for example, as 1875929344 + 6365805796 = 43312^2 + 79786^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8241735140.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 353030 + ... + 375650.

It is an arithmetic number, because the mean of its divisors is an integer number (721223293).

Almost surely, 28241735140 is an apocalyptic number.

It is an amenable number.

8241735140 is an abundant number, since it is smaller than the sum of its proper divisors (9067623892).

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

8241735140 is a wasteful number, since it uses less digits than its factorization.

8241735140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40847 (or 40845 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 8241735140 is about 90784.0026656679. The cubic root of 8241735140 is about 2019.9450316709.

The spelling of 8241735140 in words is "eight billion, two hundred forty-one million, seven hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 18217 22621 36434 45242 72868 90484 91085 113105 182170 226210 364340 452420 412086757 824173514 1648347028 2060433785 4120867570 8241735140