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81802640 = 2451760149
BaseRepresentation
bin1001110000000…
…11010110010000
312200221000010102
410320003112100
5131420141030
612041151532
72012211443
oct470032620
9180830112
1081802640
11421a2597
122348b5a8
1313c41a3a
14ac1565a
1572acc45
hex4e03590

81802640 has 40 divisors (see below), whose sum is σ = 201382200. Its totient is φ = 30795776.

The previous prime is 81802603. The next prime is 81802663. The reversal of 81802640 is 4620818.

It can be written as a sum of positive squares in 4 ways, for example, as 10163344 + 71639296 = 3188^2 + 8464^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 28715 + ... + 31434.

It is an arithmetic number, because the mean of its divisors is an integer number (5034555).

Almost surely, 281802640 is an apocalyptic number.

81802640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81802640 is an abundant number, since it is smaller than the sum of its proper divisors (119579560).

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

81802640 is a wasteful number, since it uses less digits than its factorization.

81802640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60179 (or 60173 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 81802640 is about 9044.4811902065. The cubic root of 81802640 is about 434.0993210644.

The spelling of 81802640 in words is "eighty-one million, eight hundred two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 60149 120298 240596 300745 481192 601490 962384 1022533 1202980 2045066 2405960 4090132 4811920 5112665 8180264 10225330 16360528 20450660 40901320 81802640