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86129747 = 1137431491
BaseRepresentation
bin1010010001000…
…11110001010011
320000001211210122
411020203301103
5134022122442
612314020455
72064043064
oct510436123
9200054718
1086129747
1144688610
1224a1772b
1314ac8462
14b62056b
157864dd2
hex5223c53

86129747 has 16 divisors (see below), whose sum is σ = 96920064. Its totient is φ = 75852000.

The previous prime is 86129741. The next prime is 86129753. The reversal of 86129747 is 74792168.

It is an interprime number because it is at equal distance from previous prime (86129741) and next prime (86129753).

It is a cyclic number.

It is not a de Polignac number, because 86129747 - 216 = 86064211 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 86129698 and 86129707.

It is not an unprimeable number, because it can be changed into a prime (86129741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175172 + ... + 175662.

It is an arithmetic number, because the mean of its divisors is an integer number (6057504).

Almost surely, 286129747 is an apocalyptic number.

86129747 is a deficient number, since it is larger than the sum of its proper divisors (10790317).

86129747 is a wasteful number, since it uses less digits than its factorization.

86129747 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970.

The product of its digits is 169344, while the sum is 44.

The square root of 86129747 is about 9280.6113483973. The cubic root of 86129747 is about 441.6223629624.

The spelling of 86129747 in words is "eighty-six million, one hundred twenty-nine thousand, seven hundred forty-seven".

Divisors: 1 11 37 407 431 491 4741 5401 15947 18167 175417 199837 211621 2327831 7829977 86129747