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73716090 = 2357250147
BaseRepresentation
bin1000110010011…
…01000101111010
312010201011110120
410121031011322
5122332403330
611151554110
71553401500
oct431150572
9163634416
1073716090
1138679a98
122082b936
13123700b6
149b0c670
156711c10
hex464d17a

73716090 has 48 divisors (see below), whose sum is σ = 205807392. Its totient is φ = 16849056.

The previous prime is 73716079. The next prime is 73716103. The reversal of 73716090 is 9061737.

It is a super-3 number, since 3×737160903 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 23604 + ... + 26543.

It is an arithmetic number, because the mean of its divisors is an integer number (4287654).

Almost surely, 273716090 is an apocalyptic number.

73716090 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

73716090 is an abundant number, since it is smaller than the sum of its proper divisors (132091302).

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

73716090 is a wasteful number, since it uses less digits than its factorization.

73716090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50171 (or 50164 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 33.

The square root of 73716090 is about 8585.8074751301. The cubic root of 73716090 is about 419.2960429874.

The spelling of 73716090 in words is "seventy-three million, seven hundred sixteen thousand, ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 50147 100294 150441 250735 300882 351029 501470 702058 752205 1053087 1504410 1755145 2106174 2457203 3510290 4914406 5265435 7371609 10530870 12286015 14743218 24572030 36858045 73716090