Search a number
-
+
130332240 = 2434520113
BaseRepresentation
bin1111100010010…
…11011001010000
3100002020120020000
413301023121100
5231331112430
620533250000
73141543243
oct761133120
9302216200
10130332240
11676295a5
1237793900
1321003a8c
141344925a
15b696e60
hex7c4b650

130332240 has 100 divisors (see below), whose sum is σ = 452685684. Its totient is φ = 34753536.

The previous prime is 130332233. The next prime is 130332253. The reversal of 130332240 is 42233031.

130332240 is a `hidden beast` number, since 1 + 303 + 322 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24324624 + 106007616 = 4932^2 + 10296^2 .

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 3577 + ... + 16536.

Almost surely, 2130332240 is an apocalyptic number.

130332240 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 130332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226342842).

130332240 is an abundant number, since it is smaller than the sum of its proper divisors (322353444).

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

130332240 is a wasteful number, since it uses less digits than its factorization.

130332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20138 (or 20123 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 130332240 is about 11416.3146417747. The cubic root of 130332240 is about 507.0108887406.

Adding to 130332240 its reverse (42233031), we get a palindrome (172565271).

The spelling of 130332240 in words is "one hundred thirty million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 20113 40226 60339 80452 100565 120678 160904 181017 201130 241356 301695 321808 362034 402260 482712 543051 603390 724068 804520 905085 965424 1086102 1206780 1448136 1609040 1629153 1810170 2172204 2413560 2715255 2896272 3258306 3620340 4344408 4827120 5430510 6516612 7240680 8145765 8688816 10861020 13033224 14481360 16291530 21722040 26066448 32583060 43444080 65166120 130332240