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81399040 = 285193347
BaseRepresentation
bin1001101101000…
…00110100000000
312200011111111021
410312200310000
5131314232130
612024355224
72005610662
oct466406400
9180144437
1081399040
1141a47338
1223315b14
1313b30118
14ab4c532
15722d37a
hex4da0d00

81399040 has 72 divisors (see below), whose sum is σ = 205299360. Its totient is φ = 30836736.

The previous prime is 81399011. The next prime is 81399041. The reversal of 81399040 is 4099318.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 81398987 and 81399005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81399041) 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, 22647 + ... + 25993.

It is an arithmetic number, because the mean of its divisors is an integer number (2851380).

Almost surely, 281399040 is an apocalyptic number.

81399040 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 81399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102649680).

81399040 is an abundant number, since it is smaller than the sum of its proper divisors (123900320).

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

81399040 is a wasteful number, since it uses less digits than its factorization.

81399040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387 (or 3373 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 81399040 is about 9022.1416526233. The cubic root of 81399040 is about 433.3842201911.

The spelling of 81399040 in words is "eighty-one million, three hundred ninety-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 608 640 760 1216 1280 1520 2432 3040 3347 4864 6080 6694 12160 13388 16735 24320 26776 33470 53552 63593 66940 107104 127186 133880 214208 254372 267760 317965 428416 508744 535520 635930 856832 1017488 1071040 1271860 2034976 2142080 2543720 4069952 4284160 5087440 8139904 10174880 16279808 20349760 40699520 81399040