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130764369 = 3676191051
BaseRepresentation
bin1111100101101…
…00111001010001
3100010001111222210
413302310321101
5231433424434
620550422333
73145323141
oct762647121
9303044883
10130764369
11678a422a
12379619a9
1321125688
141351c921
15b72eee9
hex7cb4e51

130764369 has 16 divisors (see below), whose sum is σ = 177409280. Its totient is φ = 85654800.

The previous prime is 130764343. The next prime is 130764373. The reversal of 130764369 is 963467031.

It is not a de Polignac number, because 130764369 - 28 = 130764113 is a prime.

It is a super-3 number, since 3×1307643693 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (130764329) 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, 123894 + ... + 124944.

It is an arithmetic number, because the mean of its divisors is an integer number (11088080).

Almost surely, 2130764369 is an apocalyptic number.

It is an amenable number.

130764369 is a deficient number, since it is larger than the sum of its proper divisors (46644911).

130764369 is a wasteful number, since it uses less digits than its factorization.

130764369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740.

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 130764369 is about 11435.2249212685. The cubic root of 130764369 is about 507.5706182721.

The spelling of 130764369 in words is "one hundred thirty million, seven hundred sixty-four thousand, three hundred sixty-nine".

Divisors: 1 3 67 201 619 1051 1857 3153 41473 70417 124419 211251 650569 1951707 43588123 130764369