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80963640 = 23325239941
BaseRepresentation
bin1001101001101…
…10100000111000
312122100101020100
410310312200320
5131211314030
612011155400
72002115412
oct464664070
9178311210
1080963640
114177a1aa
1223145b60
1313a09ba4
14aa779b2
157194360
hex4d36838

80963640 has 96 divisors (see below), whose sum is σ = 264513600. Its totient is φ = 21477120.

The previous prime is 80963629. The next prime is 80963647. The reversal of 80963640 is 4636908.

80963640 is a `hidden beast` number, since 8 + 0 + 9 + 6 + 3 + 640 = 666.

It is a super-2 number, since 2×809636402 = 13110222004099200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 80963595 and 80963604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80963647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85570 + ... + 86510.

It is an arithmetic number, because the mean of its divisors is an integer number (2755350).

Almost surely, 280963640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80963640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132256800).

80963640 is an abundant number, since it is smaller than the sum of its proper divisors (183549960).

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

80963640 is a wasteful number, since it uses less digits than its factorization.

80963640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 80963640 is about 8997.9797732602. The cubic root of 80963640 is about 432.6101204219.

The spelling of 80963640 in words is "eighty million, nine hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 239 360 478 717 941 956 1195 1434 1882 1912 2151 2390 2823 2868 3585 3764 4302 4705 4780 5646 5736 7170 7528 8469 8604 9410 9560 10755 11292 14115 14340 16938 17208 18820 21510 22584 28230 28680 33876 37640 42345 43020 56460 67752 84690 86040 112920 169380 224899 338760 449798 674697 899596 1124495 1349394 1799192 2024091 2248990 2698788 3373485 4048182 4497980 5397576 6746970 8096364 8995960 10120455 13493940 16192728 20240910 26987880 40481820 80963640