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130491600 = 24352372939
BaseRepresentation
bin1111100011100…
…10010011010000
3100002112122211020
413301302103100
5231401212400
620540515440
73143105661
oct761622320
9302478736
10130491600
11677282a8
123784bb80
132105b485
141348b368
15b6c92a0
hex7c724d0

130491600 has 120 divisors (see below), whose sum is σ = 429451680. Its totient is φ = 33845760.

The previous prime is 130491593. The next prime is 130491607. The reversal of 130491600 is 6194031.

130491600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (130491593) and next prime (130491607).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130491607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42931 + ... + 45869.

It is an arithmetic number, because the mean of its divisors is an integer number (3578764).

Almost surely, 2130491600 is an apocalyptic number.

130491600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130491600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214725840).

130491600 is an abundant number, since it is smaller than the sum of its proper divisors (298960080).

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

130491600 is a wasteful number, since it uses less digits than its factorization.

130491600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 130491600 is about 11423.2919948673. The cubic root of 130491600 is about 507.2174489050.

The spelling of 130491600 in words is "one hundred thirty million, four hundred ninety-one thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 148 150 185 200 222 240 296 300 370 400 444 555 592 600 740 888 925 1110 1200 1480 1776 1850 2220 2775 2939 2960 3700 4440 5550 5878 7400 8817 8880 11100 11756 14695 14800 17634 22200 23512 29390 35268 44085 44400 47024 58780 70536 73475 88170 108743 117560 141072 146950 176340 217486 220425 235120 293900 326229 352680 434972 440850 543715 587800 652458 705360 869944 881700 1087430 1175600 1304916 1631145 1739888 1763400 2174860 2609832 2718575 3262290 3526800 4349720 5219664 5437150 6524580 8155725 8699440 10874300 13049160 16311450 21748600 26098320 32622900 43497200 65245800 130491600