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82041080 = 235111371361
BaseRepresentation
bin1001110001111…
…01100011111000
312201101010012112
410320331203320
5132000303310
612050231452
72014223552
oct470754370
9181333175
1082041080
1142345750
1223585588
1313cc6424
14ac784d2
157308705
hex4e3d8f8

82041080 has 64 divisors (see below), whose sum is σ = 202992480. Its totient is φ = 29593600.

The previous prime is 82041077. The next prime is 82041103. The reversal of 82041080 is 8014028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59600 + ... + 60960.

Almost surely, 282041080 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 82041080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101496240).

82041080 is an abundant number, since it is smaller than the sum of its proper divisors (120951400).

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

82041080 is a wasteful number, since it uses less digits than its factorization.

82041080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 82041080 is about 9057.6531176680. The cubic root of 82041080 is about 434.5206857738.

The spelling of 82041080 in words is "eighty-two million, forty-one thousand, eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 137 220 274 440 548 685 1096 1361 1370 1507 2722 2740 3014 5444 5480 6028 6805 7535 10888 12056 13610 14971 15070 27220 29942 30140 54440 59884 60280 74855 119768 149710 186457 299420 372914 598840 745828 932285 1491656 1864570 2051027 3729140 4102054 7458280 8204108 10255135 16408216 20510270 41020540 82041080