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73685080 = 2357972713
BaseRepresentation
bin1000110010001…
…01100001011000
312010122120221001
410121011201120
5122330410310
611151154344
71553212210
oct431054130
9163576831
1073685080
1138658767
12208159b4
131235bc51
149b01240
15670793a
hex4645858

73685080 has 64 divisors (see below), whose sum is σ = 191499840. Its totient is φ = 24993792.

The previous prime is 73685071. The next prime is 73685081. The reversal of 73685080 is 8058637.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73685081) 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, 25804 + ... + 28516.

It is an arithmetic number, because the mean of its divisors is an integer number (2992185).

Almost surely, 273685080 is an apocalyptic number.

73685080 is a gapful number since it is divisible by the number (70) 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 73685080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95749920).

73685080 is an abundant number, since it is smaller than the sum of its proper divisors (117814760).

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

73685080 is a wasteful number, since it uses less digits than its factorization.

73685080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 73685080 is about 8584.0013979496. The cubic root of 73685080 is about 419.2372399322.

The spelling of 73685080 in words is "seventy-three million, six hundred eighty-five thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 97 140 194 280 388 485 679 776 970 1358 1940 2713 2716 3395 3880 5426 5432 6790 10852 13565 13580 18991 21704 27130 27160 37982 54260 75964 94955 108520 151928 189910 263161 379820 526322 759640 1052644 1315805 1842127 2105288 2631610 3684254 5263220 7368508 9210635 10526440 14737016 18421270 36842540 73685080