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130304070 = 2325133659
BaseRepresentation
bin1111100010001…
…00100001000110
3100002012010120200
413301010201012
5231324212240
620532511330
73141365151
oct761044106
9302163520
10130304070
116760a416
123777b546
1320cc4000
141343cc98
15b68d930
hex7c44846

130304070 has 96 divisors (see below), whose sum is σ = 367567200. Its totient is φ = 32026176.

The previous prime is 130304063. The next prime is 130304081. The reversal of 130304070 is 70403031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon 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 47 ways as a sum of consecutive naturals, for example, 197401 + ... + 198059.

It is an arithmetic number, because the mean of its divisors is an integer number (3828825).

Almost surely, 2130304070 is an apocalyptic number.

130304070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130304070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183783600).

130304070 is an abundant number, since it is smaller than the sum of its proper divisors (237263130).

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

130304070 is a wasteful number, since it uses less digits than its factorization.

130304070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 130304070 is about 11415.0808144314. The cubic root of 130304070 is about 506.9743576775.

The spelling of 130304070 in words is "one hundred thirty million, three hundred four thousand, seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 659 845 1014 1170 1318 1521 1690 1977 2197 2535 3042 3295 3954 4394 5070 5931 6590 6591 7605 8567 9885 10985 11862 13182 15210 17134 19770 19773 21970 25701 29655 32955 39546 42835 51402 59310 65910 77103 85670 98865 111371 128505 154206 197730 222742 257010 334113 385515 556855 668226 771030 1002339 1113710 1447823 1670565 2004678 2895646 3341130 4343469 5011695 7239115 8686938 10023390 13030407 14478230 21717345 26060814 43434690 65152035 130304070