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130642032 = 2435389577
BaseRepresentation
bin1111100100101…
…11000001110000
3100002211022011210
413302113001300
5231421021112
620544040120
73144303363
oct762270160
9302738153
10130642032
1167820324
1237903040
13210b1aa1
14134ca0da
15b708b3c
hex7c97070

130642032 has 80 divisors (see below), whose sum is σ = 348325920. Its totient is φ = 42172416.

The previous prime is 130642021. The next prime is 130642073. The reversal of 130642032 is 230246031.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 226128 + ... + 226704.

It is an arithmetic number, because the mean of its divisors is an integer number (4354074).

Almost surely, 2130642032 is an apocalyptic number.

130642032 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 130642032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174162960).

130642032 is an abundant number, since it is smaller than the sum of its proper divisors (217683888).

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

130642032 is a wasteful number, since it uses less digits than its factorization.

130642032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 130642032 is about 11429.8745399939. The cubic root of 130642032 is about 507.4122824768.

Adding to 130642032 its reverse (230246031), we get a palindrome (360888063).

The spelling of 130642032 in words is "one hundred thirty million, six hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 89 106 159 178 212 267 318 356 424 534 577 636 712 848 1068 1154 1272 1424 1731 2136 2308 2544 3462 4272 4616 4717 6924 9232 9434 13848 14151 18868 27696 28302 30581 37736 51353 56604 61162 75472 91743 102706 113208 122324 154059 183486 205412 226416 244648 308118 366972 410824 489296 616236 733944 821648 1232472 1467888 2464944 2721709 5443418 8165127 10886836 16330254 21773672 32660508 43547344 65321016 130642032