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130632030 = 23251979967
BaseRepresentation
bin1111100100101…
…00100101011110
3100002210210110100
413302110211132
5231420211110
620543521530
73144232254
oct762244536
9302723410
10130632030
1167813861
12378b92a6
13210aa379
14134c65d4
15b705bc0
hex7c9495e

130632030 has 96 divisors (see below), whose sum is σ = 362419200. Its totient is φ = 32550336.

The previous prime is 130632017. The next prime is 130632041. The reversal of 130632030 is 30236031.

It is a happy number.

130632030 is a `hidden beast` number, since 1 + 3 + 0 + 632 + 0 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 130631994 and 130632012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134607 + ... + 135573.

It is an arithmetic number, because the mean of its divisors is an integer number (3775200).

Almost surely, 2130632030 is an apocalyptic number.

130632030 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 130632030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181209600).

130632030 is an abundant number, since it is smaller than the sum of its proper divisors (231787170).

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

130632030 is a wasteful number, since it uses less digits than its factorization.

130632030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 130632030 is about 11429.4369940081. The cubic root of 130632030 is about 507.3993329253.

Adding to 130632030 its reverse (30236031), we get a palindrome (160868061).

The spelling of 130632030 in words is "one hundred thirty million, six hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 79 90 95 114 158 171 190 237 285 342 395 474 570 711 790 855 967 1185 1422 1501 1710 1934 2370 2901 3002 3555 4503 4835 5802 7110 7505 8703 9006 9670 13509 14505 15010 17406 18373 22515 27018 29010 36746 43515 45030 55119 67545 76393 87030 91865 110238 135090 152786 165357 183730 229179 275595 330714 381965 458358 551190 687537 763930 826785 1145895 1375074 1451467 1653570 2291790 2902934 3437685 4354401 6875370 7257335 8708802 13063203 14514670 21772005 26126406 43544010 65316015 130632030