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81143760 = 2435557607
BaseRepresentation
bin1001101011000…
…10011111010000
312122200112022110
410311202133100
5131233100020
612015105320
72003465505
oct465423720
9178615273
1081143760
1141892565
1223212240
1313a70b79
14aac34ac
1571cc8e0
hex4d627d0

81143760 has 80 divisors (see below), whose sum is σ = 252412416. Its totient is φ = 21563904.

The previous prime is 81143759. The next prime is 81143779. The reversal of 81143760 is 6734118.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133377 + ... + 133983.

Almost surely, 281143760 is an apocalyptic number.

81143760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81143760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126206208).

81143760 is an abundant number, since it is smaller than the sum of its proper divisors (171268656).

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

81143760 is a wasteful number, since it uses less digits than its factorization.

81143760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 81143760 is about 9007.9831260943. The cubic root of 81143760 is about 432.9306923971.

Adding to 81143760 its reverse (6734118), we get a palindrome (87877878).

The spelling of 81143760 in words is "eighty-one million, one hundred forty-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 557 607 1114 1214 1671 1821 2228 2428 2785 3035 3342 3642 4456 4856 5570 6070 6684 7284 8355 8912 9105 9712 11140 12140 13368 14568 16710 18210 22280 24280 26736 29136 33420 36420 44560 48560 66840 72840 133680 145680 338099 676198 1014297 1352396 1690495 2028594 2704792 3380990 4057188 5071485 5409584 6761980 8114376 10142970 13523960 16228752 20285940 27047920 40571880 81143760