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81842960 = 2451023037
BaseRepresentation
bin1001110000011…
…01001100010000
312201000001102202
410320031030100
5131422433320
612042102332
72012440133
oct470151420
9181001382
1081842960
114221a911
12234aa9a8
1313c571b4
14ac2621a
1572b9b75
hex4e0d310

81842960 has 20 divisors (see below), whose sum is σ = 190285068. Its totient is φ = 32737152.

The previous prime is 81842953. The next prime is 81842987. The reversal of 81842960 is 6924818.

It can be written as a sum of positive squares in 2 ways, for example, as 22429696 + 59413264 = 4736^2 + 7708^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 511439 + ... + 511598.

Almost surely, 281842960 is an apocalyptic number.

81842960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81842960 is an abundant number, since it is smaller than the sum of its proper divisors (108442108).

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

81842960 is a wasteful number, since it uses less digits than its factorization.

81842960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023050 (or 1023044 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 81842960 is about 9046.7098991843. The cubic root of 81842960 is about 434.1706309460.

The spelling of 81842960 in words is "eighty-one million, eight hundred forty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1023037 2046074 4092148 5115185 8184296 10230370 16368592 20460740 40921480 81842960