Search a number
-
+
130473144 = 2332612487
BaseRepresentation
bin1111100011011…
…01110010111000
3100002111201111200
413301231302320
5231400120034
620540254200
73143001114
oct761556270
9302451450
10130473144
116771544a
1237841360
1321052c59
1413484744
15b6c3a99
hex7c6dcb8

130473144 has 72 divisors (see below), whose sum is σ = 359990280. Its totient is φ = 42690240.

The previous prime is 130473139. The next prime is 130473149. The reversal of 130473144 is 441374031.

It is an interprime number because it is at equal distance from previous prime (130473139) and next prime (130473149).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130473149) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 267669 + ... + 268155.

It is an arithmetic number, because the mean of its divisors is an integer number (4999865).

Almost surely, 2130473144 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 130473144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179995140).

130473144 is an abundant number, since it is smaller than the sum of its proper divisors (229517136).

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

130473144 is a wasteful number, since it uses less digits than its factorization.

130473144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 130473144 is about 11422.4841431275. The cubic root of 130473144 is about 507.1935351138.

The spelling of 130473144 in words is "one hundred thirty million, four hundred seventy-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 487 488 549 732 974 1098 1461 1464 1948 2196 2922 3721 3896 4383 4392 5844 7442 8766 11163 11688 14884 17532 22326 29707 29768 33489 35064 44652 59414 66978 89121 89304 118828 133956 178242 237656 267363 267912 356484 534726 712968 1069452 1812127 2138904 3624254 5436381 7248508 10872762 14497016 16309143 21745524 32618286 43491048 65236572 130473144