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73385080 = 23529411543
BaseRepresentation
bin1000101111111…
…00010001111000
312010002100101221
410113330101320
5122241310310
611140521424
71550522446
oct427742170
9163070357
1073385080
113847332a
12206b0274
1312285532
149a63b96
156698ada
hex45fc478

73385080 has 64 divisors (see below), whose sum is σ = 175089600. Its totient is φ = 27632640.

The previous prime is 73385071. The next prime is 73385089. The reversal of 73385080 is 8058337.

It is an interprime number because it is at equal distance from previous prime (73385071) and next prime (73385089).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73385089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46789 + ... + 48331.

It is an arithmetic number, because the mean of its divisors is an integer number (2735775).

Almost surely, 273385080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73385080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87544800).

73385080 is an abundant number, since it is smaller than the sum of its proper divisors (101704520).

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

73385080 is a wasteful number, since it uses less digits than its factorization.

73385080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 73385080 is about 8566.5092073726. The cubic root of 73385080 is about 418.6675079207.

The spelling of 73385080 in words is "seventy-three million, three hundred eighty-five thousand, eighty".

Divisors: 1 2 4 5 8 10 20 29 40 41 58 82 116 145 164 205 232 290 328 410 580 820 1160 1189 1543 1640 2378 3086 4756 5945 6172 7715 9512 11890 12344 15430 23780 30860 44747 47560 61720 63263 89494 126526 178988 223735 253052 316315 357976 447470 506104 632630 894940 1265260 1789880 1834627 2530520 3669254 7338508 9173135 14677016 18346270 36692540 73385080