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84040960 = 28565657
BaseRepresentation
bin1010000001001…
…01110100000000
312212010201112011
411000211310000
5133003302320
612201142304
72040223243
oct500456400
9185121464
1084040960
1143491243
122418a994
13145467a3
14b23925a
1575a105a
hex5025d00

84040960 has 36 divisors (see below), whose sum is σ = 201307428. Its totient is φ = 33615872.

The previous prime is 84040951. The next prime is 84040961. The reversal of 84040960 is 6904048.

It can be written as a sum of positive squares in 2 ways, for example, as 64256256 + 19784704 = 8016^2 + 4448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84040961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31549 + ... + 34108.

It is an arithmetic number, because the mean of its divisors is an integer number (5591873).

Almost surely, 284040960 is an apocalyptic number.

84040960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84040960 is an abundant number, since it is smaller than the sum of its proper divisors (117266468).

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

84040960 is an equidigital number, since it uses as much as digits as its factorization.

84040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65678 (or 65664 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 84040960 is about 9167.3856687717. The cubic root of 84040960 is about 438.0230869867.

The spelling of 84040960 in words is "eighty-four million, forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 65657 131314 262628 328285 525256 656570 1050512 1313140 2101024 2626280 4202048 5252560 8404096 10505120 16808192 21010240 42020480 84040960