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130230432 = 2532412269
BaseRepresentation
bin1111100001100…
…10100010100000
3100002001101120100
413300302202200
5231314333212
620531142400
73140640363
oct760624240
9302041510
10130230432
116756a062
1237744a00
1320c99637
14134200da
15b676bdc
hex7c328a0

130230432 has 108 divisors (see below), whose sum is σ = 381006990. Its totient is φ = 42193920.

The previous prime is 130230431. The next prime is 130230433. The reversal of 130230432 is 234032031.

130230432 is a `hidden beast` number, since 1 + 3 + 0 + 230 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (130230431) and next prime (130230433).

It can be written as a sum of positive squares in 3 ways, for example, as 15397776 + 114832656 = 3924^2 + 10716^2 .

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

It is not an unprimeable number, because it can be changed into a prime (130230431) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 483994 + ... + 484262.

Almost surely, 2130230432 is an apocalyptic number.

130230432 is a gapful number since it is divisible by the number (12) 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 130230432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190503495).

130230432 is an abundant number, since it is smaller than the sum of its proper divisors (250776558).

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

130230432 is a wasteful number, since it uses less digits than its factorization.

130230432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 315 counting only the distinct ones).

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

The square root of 130230432 is about 11411.8548886673. The cubic root of 130230432 is about 506.8788385007.

Adding to 130230432 its reverse (234032031), we get a palindrome (364262463).

The spelling of 130230432 in words is "one hundred thirty million, two hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 269 288 328 369 492 538 656 738 807 984 1076 1312 1476 1614 1681 1968 2152 2421 2952 3228 3362 3936 4304 4842 5043 5904 6456 6724 8608 9684 10086 11029 11808 12912 13448 15129 19368 20172 22058 25824 26896 30258 33087 38736 40344 44116 53792 60516 66174 77472 80688 88232 99261 121032 132348 161376 176464 198522 242064 264696 352928 397044 452189 484128 529392 794088 904378 1058784 1356567 1588176 1808756 2713134 3176352 3617512 4069701 5426268 7235024 8139402 10852536 14470048 16278804 21705072 32557608 43410144 65115216 130230432