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130450120 = 235291071051
BaseRepresentation
bin1111100011010…
…00001011001000
3100002110112220221
413301220023020
5231343400440
620535555424
73142544023
oct761501310
9302415827
10130450120
11676aa119
123782bb74
1321045628
141347a1ba
15b6bbd4a
hex7c682c8

130450120 has 64 divisors (see below), whose sum is σ = 306763200. Its totient is φ = 49862400.

The previous prime is 130450109. The next prime is 130450127. The reversal of 130450120 is 21054031.

130450120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 130450094 and 130450103.

It is not an unprimeable number, because it can be changed into a prime (130450127) 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, 123595 + ... + 124645.

It is an arithmetic number, because the mean of its divisors is an integer number (4793175).

Almost surely, 2130450120 is an apocalyptic number.

130450120 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 130450120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153381600).

130450120 is an abundant number, since it is smaller than the sum of its proper divisors (176313080).

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

130450120 is a wasteful number, since it uses less digits than its factorization.

130450120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 130450120 is about 11421.4762618499. The cubic root of 130450120 is about 507.1636993163.

The spelling of 130450120 in words is "one hundred thirty million, four hundred fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 107 116 145 214 232 290 428 535 580 856 1051 1070 1160 2102 2140 3103 4204 4280 5255 6206 8408 10510 12412 15515 21020 24824 30479 31030 42040 60958 62060 112457 121916 124120 152395 224914 243832 304790 449828 562285 609580 899656 1124570 1219160 2249140 3261253 4498280 6522506 13045012 16306265 26090024 32612530 65225060 130450120