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81074180 = 22511401919
BaseRepresentation
bin1001101010100…
…01100000000100
312122112222212102
410311101200010
5131223333210
612013411232
72003055605
oct465214004
9178488772
1081074180
1141845260
1223199b18
1313a482b5
14aaa5dac
1571b6ea5
hex4d51804

81074180 has 48 divisors (see below), whose sum is σ = 186399360. Its totient is φ = 29376000.

The previous prime is 81074177. The next prime is 81074183. The reversal of 81074180 is 8147018.

It is an interprime number because it is at equal distance from previous prime (81074177) and next prime (81074183).

It is not an unprimeable number, because it can be changed into a prime (81074183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87761 + ... + 88679.

It is an arithmetic number, because the mean of its divisors is an integer number (3883320).

Almost surely, 281074180 is an apocalyptic number.

81074180 is the 7352-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81074180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93199680).

81074180 is an abundant number, since it is smaller than the sum of its proper divisors (105325180).

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

81074180 is a wasteful number, since it uses less digits than its factorization.

81074180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 29.

The square root of 81074180 is about 9004.1201680120. The cubic root of 81074180 is about 432.8069123643.

The spelling of 81074180 in words is "eighty-one million, seventy-four thousand, one hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 401 802 919 1604 1838 2005 3676 4010 4411 4595 8020 8822 9190 10109 17644 18380 20218 22055 40436 44110 50545 88220 101090 202180 368519 737038 1474076 1842595 3685190 4053709 7370380 8107418 16214836 20268545 40537090 81074180