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82095360 = 283521379
BaseRepresentation
bin1001110010010…
…10110100000000
312201110212122220
410321022310000
5132004022420
612051331040
72014541034
oct471126400
9181425586
1082095360
1142382506
12235b0a80
1314015049
14ac901c4
157319840
hex4e4ad00

82095360 has 72 divisors (see below), whose sum is σ = 262204320. Its totient is φ = 21891072.

The previous prime is 82095359. The next prime is 82095367. The reversal of 82095360 is 6359028.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82095367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6850 + ... + 14529.

Almost surely, 282095360 is an apocalyptic number.

82095360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82095360 is an abundant number, since it is smaller than the sum of its proper divisors (180108960).

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

82095360 is a wasteful number, since it uses less digits than its factorization.

82095360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21403 (or 21389 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 82095360 is about 9060.6489833786. The cubic root of 82095360 is about 434.6164938053.

The spelling of 82095360 in words is "eighty-two million, ninety-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 21379 42758 64137 85516 106895 128274 171032 213790 256548 320685 342064 427580 513096 641370 684128 855160 1026192 1282740 1368256 1710320 2052384 2565480 2736512 3420640 4104768 5130960 5473024 6841280 8209536 10261920 13682560 16419072 20523840 27365120 41047680 82095360