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130126410 = 232523371699
BaseRepresentation
bin1111100000110…
…01001001001010
3100001212002212200
413300121021022
5231303021120
620525021030
73140025201
oct760311112
9301762780
10130126410
11674a8997
12376b4776
1320c6119b
14133d4238
15b655e90
hex7c1924a

130126410 has 96 divisors (see below), whose sum is σ = 362793600. Its totient is φ = 32275584.

The previous prime is 130126397. The next prime is 130126411. The reversal of 130126410 is 14621031.

It is a happy number.

130126410 is a `hidden beast` number, since 13 + 0 + 12 + 641 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (130126411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75741 + ... + 77439.

It is an arithmetic number, because the mean of its divisors is an integer number (3779100).

Almost surely, 2130126410 is an apocalyptic number.

130126410 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 130126410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181396800).

130126410 is an abundant number, since it is smaller than the sum of its proper divisors (232667190).

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

130126410 is a wasteful number, since it uses less digits than its factorization.

130126410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 130126410 is about 11407.2963492670. The cubic root of 130126410 is about 506.7438454876.

Adding to 130126410 its reverse (14621031), we get a palindrome (144747441).

The spelling of 130126410 in words is "one hundred thirty million, one hundred twenty-six thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 37 45 46 69 74 90 111 115 138 185 207 222 230 333 345 370 414 555 666 690 851 1035 1110 1665 1699 1702 2070 2553 3330 3398 4255 5097 5106 7659 8495 8510 10194 12765 15291 15318 16990 25485 25530 30582 38295 39077 50970 62863 76455 76590 78154 117231 125726 152910 188589 195385 234462 314315 351693 377178 390770 565767 586155 628630 703386 942945 1131534 1172310 1445849 1758465 1885890 2828835 2891698 3516930 4337547 5657670 7229245 8675094 13012641 14458490 21687735 26025282 43375470 65063205 130126410