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8130384 = 2432131431
BaseRepresentation
bin11111000000111101010000
3120022001210100
4133000331100
54040133014
6450132400
7126051513
oct37007520
916261710
108130384
114653529
122881100
1318b88a2
141118d7a
15aa9009
hex7c0f50

8130384 has 60 divisors (see below), whose sum is σ = 22980672. Its totient is φ = 2683200.

The previous prime is 8130373. The next prime is 8130391. The reversal of 8130384 is 4830318.

It is a super-2 number, since 2×81303842 = 132206287974912, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18649 + ... + 19079.

Almost surely, 28130384 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 8130384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11490336).

8130384 is an abundant number, since it is smaller than the sum of its proper divisors (14850288).

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

8130384 is a wasteful number, since it uses less digits than its factorization.

8130384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8130384 is about 2851.3828224214. The cubic root of 8130384 is about 201.0806834324.

The spelling of 8130384 in words is "eight million, one hundred thirty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 131 144 262 393 431 524 786 862 1048 1179 1293 1572 1724 2096 2358 2586 3144 3448 3879 4716 5172 6288 6896 7758 9432 10344 15516 18864 20688 31032 56461 62064 112922 169383 225844 338766 451688 508149 677532 903376 1016298 1355064 2032596 2710128 4065192 8130384