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8064540 = 22325114073
BaseRepresentation
bin11110110000111000011100
3120011201110200
4132300320130
54031031130
6444503500
7125355531
oct36607034
916151420
108064540
114609010
12284ab90
131894923
1410dcd88
15a94760
hex7b0e1c

8064540 has 72 divisors (see below), whose sum is σ = 26692848. Its totient is φ = 1954560.

The previous prime is 8064527. The next prime is 8064571. The reversal of 8064540 is 454608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57 + ... + 4016.

It is an arithmetic number, because the mean of its divisors is an integer number (370734).

Almost surely, 28064540 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 8064540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13346424).

8064540 is an abundant number, since it is smaller than the sum of its proper divisors (18628308).

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

8064540 is a wasteful number, since it uses less digits than its factorization.

8064540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4099 (or 4094 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 8064540 is about 2839.8133741498. The cubic root of 8064540 is about 200.5363934575.

It can be divided in two parts, 80 and 64540, that added together give a triangular number (64620 = T359).

The spelling of 8064540 in words is "eight million, sixty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 4073 8146 12219 16292 20365 24438 36657 40730 44803 48876 61095 73314 81460 89606 122190 134409 146628 179212 183285 224015 244380 268818 366570 403227 448030 537636 672045 733140 806454 896060 1344090 1612908 2016135 2688180 4032270 8064540