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130152420 = 2234580341
BaseRepresentation
bin1111100000111…
…11011111100100
3100001220102120000
413300133133210
5231304334140
620525341300
73140164056
oct760373744
9301812500
10130152420
1167516492
1237707830
1320c6cc88
14133dd8d6
15b65da30
hex7c1f7e4

130152420 has 60 divisors (see below), whose sum is σ = 408298044. Its totient is φ = 34706880.

The previous prime is 130152419. The next prime is 130152457. The reversal of 130152420 is 24251031.

It can be written as a sum of positive squares in 2 ways, for example, as 83612736 + 46539684 = 9144^2 + 6822^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 130152393 and 130152402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38551 + ... + 41790.

Almost surely, 2130152420 is an apocalyptic number.

130152420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130152420 is an abundant number, since it is smaller than the sum of its proper divisors (278145624).

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

130152420 is a wasteful number, since it uses less digits than its factorization.

130152420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80362 (or 80351 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 130152420 is about 11408.4363521036. The cubic root of 130152420 is about 506.7776063240. Note that the first 3 decimals are identical.

The spelling of 130152420 in words is "one hundred thirty million, one hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 80341 160682 241023 321364 401705 482046 723069 803410 964092 1205115 1446138 1606820 2169207 2410230 2892276 3615345 4338414 4820460 6507621 7230690 8676828 10846035 13015242 14461380 21692070 26030484 32538105 43384140 65076210 130152420