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8145540 = 2232513592
BaseRepresentation
bin11111000100101010000100
3120022211120200
4133010222010
54041124130
6450330500
7126143634
oct37045204
916284520
108145540
114663957
122889a30
1318c2760
1411206c4
15aad760
hex7c4a84

8145540 has 108 divisors (see below), whose sum is σ = 27067404. Its totient is φ = 1971072.

The previous prime is 8145479. The next prime is 8145541. The reversal of 8145540 is 455418.

8145540 = T311 + T312 + ... + T428.

8145540 is a `hidden beast` number, since 81 + 45 + 540 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2005056 + 6140484 = 1416^2 + 2478^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8145541) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 138031 + ... + 138089.

Almost surely, 28145540 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 8145540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13533702).

8145540 is an abundant number, since it is smaller than the sum of its proper divisors (18921864).

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

8145540 is a wasteful number, since it uses less digits than its factorization.

8145540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 8145540 is about 2854.0392428977. The cubic root of 8145540 is about 201.2055519550.

The spelling of 8145540 in words is "eight million, one hundred forty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 59 60 65 78 90 117 118 130 156 177 180 195 234 236 260 295 354 390 468 531 585 590 708 767 780 885 1062 1170 1180 1534 1770 2124 2301 2340 2655 3068 3481 3540 3835 4602 5310 6903 6962 7670 9204 10443 10620 11505 13806 13924 15340 17405 20886 23010 27612 31329 34515 34810 41772 45253 46020 52215 62658 69030 69620 90506 104430 125316 135759 138060 156645 181012 208860 226265 271518 313290 407277 452530 543036 626580 678795 814554 905060 1357590 1629108 2036385 2715180 4072770 8145540