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81055120 = 2451676067
BaseRepresentation
bin1001101010011…
…00110110010000
312122112000201111
410311030312100
5131222230440
612013143104
72002646206
oct465146620
9178460644
1081055120
1141831a03
122318aa94
1313a3c713
14aa9d076
1571b14ea
hex4d4cd90

81055120 has 40 divisors (see below), whose sum is σ = 189612864. Its totient is φ = 32222592.

The previous prime is 81055109. The next prime is 81055127. The reversal of 81055120 is 2155018.

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

It is a junction number, because it is equal to n+sod(n) for n = 81055091 and 81055100.

It is not an unprimeable number, because it can be changed into a prime (81055127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10327 + ... + 16393.

Almost surely, 281055120 is an apocalyptic number.

81055120 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 81055120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94806432).

81055120 is an abundant number, since it is smaller than the sum of its proper divisors (108557744).

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

81055120 is a wasteful number, since it uses less digits than its factorization.

81055120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6247 (or 6241 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

The square root of 81055120 is about 9003.0617014436. The cubic root of 81055120 is about 432.7729930314.

It can be divided in two parts, 8105 and 5120, that added together give a square (13225 = 1152).

The spelling of 81055120 in words is "eighty-one million, fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 167 334 668 835 1336 1670 2672 3340 6067 6680 12134 13360 24268 30335 48536 60670 97072 121340 242680 485360 1013189 2026378 4052756 5065945 8105512 10131890 16211024 20263780 40527560 81055120