Search a number
-
+
130030120 = 23511319533
BaseRepresentation
bin1111100000000…
…01101000101000
3100001200012210101
413300001220220
5231241430440
620522555144
73136144363
oct760015050
9301605711
10130030120
1167442610
1237668ab4
1320c293cc
14133ab0da
15b63769a
hex7c01a28

130030120 has 64 divisors (see below), whose sum is σ = 329495040. Its totient is φ = 45753600.

The previous prime is 130030097. The next prime is 130030123. The reversal of 130030120 is 21030031.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 130030097 and 130030106.

It is not an unprimeable number, because it can be changed into a prime (130030123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8874 + ... + 18406.

It is an arithmetic number, because the mean of its divisors is an integer number (5148360).

Almost surely, 2130030120 is an apocalyptic number.

130030120 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 130030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164747520).

130030120 is an abundant number, since it is smaller than the sum of its proper divisors (199464920).

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

130030120 is a wasteful number, since it uses less digits than its factorization.

130030120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9586 (or 9582 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 130030120 is about 11403.0750238697. The cubic root of 130030120 is about 506.6188224290.

Adding to 130030120 its reverse (21030031), we get a palindrome (151060151).

The spelling of 130030120 in words is "one hundred thirty million, thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1705 2728 3410 6820 9533 13640 19066 38132 47665 76264 95330 104863 190660 209726 295523 381320 419452 524315 591046 838904 1048630 1182092 1477615 2097260 2364184 2955230 3250753 4194520 5910460 6501506 11820920 13003012 16253765 26006024 32507530 65015060 130030120