Search a number
-
+
130232240 = 24517313089
BaseRepresentation
bin1111100001100…
…10111110110000
3100002001111001022
413300302332300
5231314412430
620531155012
73140645555
oct760627660
9302044038
10130232240
1167570456
1237745a68
1320c9a3c8
1413420a2c
15b6774e5
hex7c32fb0

130232240 has 80 divisors (see below), whose sum is σ = 331050240. Its totient is φ = 47431680.

The previous prime is 130232227. The next prime is 130232261. The reversal of 130232240 is 42232031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40616 + ... + 43704.

It is an arithmetic number, because the mean of its divisors is an integer number (4138128).

Almost surely, 2130232240 is an apocalyptic number.

130232240 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 130232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165525120).

130232240 is an abundant number, since it is smaller than the sum of its proper divisors (200818000).

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

130232240 is a wasteful number, since it uses less digits than its factorization.

130232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 130232240 is about 11411.9341042612. The cubic root of 130232240 is about 506.8811841704.

Adding to 130232240 its reverse (42232031), we get a palindrome (172464271).

The spelling of 130232240 in words is "one hundred thirty million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 31 34 40 62 68 80 85 124 136 155 170 248 272 310 340 496 527 620 680 1054 1240 1360 2108 2480 2635 3089 4216 5270 6178 8432 10540 12356 15445 21080 24712 30890 42160 49424 52513 61780 95759 105026 123560 191518 210052 247120 262565 383036 420104 478795 525130 766072 840208 957590 1050260 1532144 1627903 1915180 2100520 3255806 3830360 4201040 6511612 7660720 8139515 13023224 16279030 26046448 32558060 65116120 130232240