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73290100 = 22521356377
BaseRepresentation
bin1000101111001…
…01000101110100
312002220112010011
410113211011310
5122230240400
611134510004
71546645522
oct427450564
9162815104
1073290100
1138408a34
1220665304
1312251230
149a3b312
15667a8ba
hex45e5174

73290100 has 36 divisors (see below), whose sum is σ = 171276364. Its totient is φ = 27060480.

The previous prime is 73290089. The next prime is 73290101. The reversal of 73290100 is 109237.

It can be written as a sum of positive squares in 6 ways, for example, as 27646564 + 45643536 = 5258^2 + 6756^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73290101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26889 + ... + 29488.

Almost surely, 273290100 is an apocalyptic number.

It is an amenable number.

73290100 is an abundant number, since it is smaller than the sum of its proper divisors (97986264).

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

73290100 is a wasteful number, since it uses less digits than its factorization.

73290100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56404 (or 56397 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 73290100 is about 8560.9637307957. The cubic root of 73290100 is about 418.4868072124.

Adding to 73290100 its reverse (109237), we get a palindrome (73399337).

The spelling of 73290100 in words is "seventy-three million, two hundred ninety thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 56377 112754 225508 281885 563770 732901 1127540 1409425 1465802 2818850 2931604 3664505 5637700 7329010 14658020 18322525 36645050 73290100