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8085720 = 2335431567
BaseRepresentation
bin11110110110000011011000
3120012210112010
4132312003120
54032220340
6445145520
7125504346
oct36660330
916183463
108085720
114622a15
12285b2a0
1318a1466
141106996
15a9ab80
hex7b60d8

8085720 has 64 divisors (see below), whose sum is σ = 24837120. Its totient is φ = 2104704.

The previous prime is 8085691. The next prime is 8085743. The reversal of 8085720 is 275808.

8085720 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4377 + ... + 5943.

It is an arithmetic number, because the mean of its divisors is an integer number (388080).

Almost surely, 28085720 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 8085720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12418560).

8085720 is an abundant number, since it is smaller than the sum of its proper divisors (16751400).

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

8085720 is a wasteful number, since it uses less digits than its factorization.

8085720 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 4480, while the sum is 30.

The square root of 8085720 is about 2843.5400471947. The cubic root of 8085720 is about 200.7117970528.

The spelling of 8085720 in words is "eight million, eighty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1567 1720 2580 3134 4701 5160 6268 7835 9402 12536 15670 18804 23505 31340 37608 47010 62680 67381 94020 134762 188040 202143 269524 336905 404286 539048 673810 808572 1010715 1347620 1617144 2021430 2695240 4042860 8085720