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130446020 = 225192831213
BaseRepresentation
bin1111100011001…
…11001011000100
3100002110100022002
413301213023010
5231343233040
620535524432
73142526045
oct761471304
9302410262
10130446020
11676a7031
1237829718
13210437c3
14134788cc
15b6baa15
hex7c672c4

130446020 has 48 divisors (see below), whose sum is σ = 289611840. Its totient is φ = 49216896.

The previous prime is 130446007. The next prime is 130446059. The reversal of 130446020 is 20644031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 130445983 and 130446001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106934 + ... + 108146.

It is an arithmetic number, because the mean of its divisors is an integer number (6033580).

Almost surely, 2130446020 is an apocalyptic number.

130446020 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 130446020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144805920).

130446020 is an abundant number, since it is smaller than the sum of its proper divisors (159165820).

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

130446020 is a wasteful number, since it uses less digits than its factorization.

130446020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 130446020 is about 11421.2967740095. The cubic root of 130446020 is about 507.1583859369.

The spelling of 130446020 in words is "one hundred thirty million, four hundred forty-six thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 283 380 566 1132 1213 1415 2426 2830 4852 5377 5660 6065 10754 12130 21508 23047 24260 26885 46094 53770 92188 107540 115235 230470 343279 460940 686558 1373116 1716395 3432790 6522301 6865580 13044602 26089204 32611505 65223010 130446020