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8130465 = 325753487
BaseRepresentation
bin11111000000111110100001
3120022001220100
4133000332201
54040133330
6450133013
7126051660
oct37007641
916261810
108130465
1146535a2
122881169
1318b8935
141118dd7
15aa9060
hex7c0fa1

8130465 has 48 divisors (see below), whose sum is σ = 16443648. Its totient is φ = 3639168.

The previous prime is 8130449. The next prime is 8130509. The reversal of 8130465 is 5640318.

It is not a de Polignac number, because 8130465 - 24 = 8130449 is a prime.

It is a super-2 number, since 2×81304652 = 132208922232450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16452 + ... + 16938.

It is an arithmetic number, because the mean of its divisors is an integer number (342576).

Almost surely, 28130465 is an apocalyptic number.

It is an amenable number.

8130465 is an abundant number, since it is smaller than the sum of its proper divisors (8313183).

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

8130465 is a wasteful number, since it uses less digits than its factorization.

8130465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 8130465 is about 2851.3970260208. The cubic root of 8130465 is about 201.0813511943.

The spelling of 8130465 in words is "eight million, one hundred thirty thousand, four hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 35 45 53 63 105 159 265 315 371 477 487 795 1113 1461 1855 2385 2435 3339 3409 4383 5565 7305 10227 16695 17045 21915 25811 30681 51135 77433 129055 153405 180677 232299 387165 542031 903385 1161495 1626093 2710155 8130465