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73381120 = 28557329
BaseRepresentation
bin1000101111110…
…11010100000000
312010002010222021
410113323110000
5122241143440
611140451224
71550505061
oct427732400
9163063867
1073381120
113847035a
12206a9b14
13122837a7
149a62568
15669784a
hex45fb500

73381120 has 36 divisors (see below), whose sum is σ = 175773780. Its totient is φ = 29351936.

The previous prime is 73381117. The next prime is 73381151. The reversal of 73381120 is 2118337.

It can be written as a sum of positive squares in 2 ways, for example, as 12166144 + 61214976 = 3488^2 + 7824^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27385 + ... + 29944.

It is an arithmetic number, because the mean of its divisors is an integer number (4882605).

Almost surely, 273381120 is an apocalyptic number.

It is an amenable number.

73381120 is an abundant number, since it is smaller than the sum of its proper divisors (102392660).

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

73381120 is an equidigital number, since it uses as much as digits as its factorization.

73381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57350 (or 57336 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 73381120 is about 8566.2780716015. The cubic root of 73381120 is about 418.6599770840.

Adding to 73381120 its reverse (2118337), we get a palindrome (75499457).

The spelling of 73381120 in words is "seventy-three million, three hundred eighty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 57329 114658 229316 286645 458632 573290 917264 1146580 1834528 2293160 3669056 4586320 7338112 9172640 14676224 18345280 36690560 73381120