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73085780 = 22519414691
BaseRepresentation
bin1000101101100…
…11001101010100
312002112010211202
410112303031110
5122202221110
611130252032
71545135035
oct426631524
9162463752
1073085780
1138289479
1220587018
13121ac231
1499c6a8c
15663a0a5
hex45b3354

73085780 has 48 divisors (see below), whose sum is σ = 165533760. Its totient is φ = 27014400.

The previous prime is 73085759. The next prime is 73085791. The reversal of 73085780 is 8758037.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 13235 + ... + 17925.

It is an arithmetic number, because the mean of its divisors is an integer number (3448620).

Almost surely, 273085780 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 73085780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82766880).

73085780 is an abundant number, since it is smaller than the sum of its proper divisors (92447980).

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

73085780 is a wasteful number, since it uses less digits than its factorization.

73085780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4760 (or 4758 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 73085780 is about 8549.0221663065. The cubic root of 73085780 is about 418.0975558873.

The spelling of 73085780 in words is "seventy-three million, eighty-five thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 95 164 190 205 380 410 779 820 1558 3116 3895 4691 7790 9382 15580 18764 23455 46910 89129 93820 178258 192331 356516 384662 445645 769324 891290 961655 1782580 1923310 3654289 3846620 7308578 14617156 18271445 36542890 73085780