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36413130 = 23513731279
BaseRepresentation
bin1000101011100…
…1111011001010
32112111222102110
42022321323022
533310210010
63340243150
7621335505
oct212717312
975458373
1036413130
11196107a6
12102404b6
13770c040
144b9c13c
1532e4120
hex22b9eca

36413130 has 64 divisors (see below), whose sum is σ = 95477760. Its totient is φ = 8833536.

The previous prime is 36413129. The next prime is 36413137. The reversal of 36413130 is 3131463.

It is a junction number, because it is equal to n+sod(n) for n = 36413097 and 36413106.

It is not an unprimeable number, because it can be changed into a prime (36413137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27831 + ... + 29109.

It is an arithmetic number, because the mean of its divisors is an integer number (1491840).

Almost surely, 236413130 is an apocalyptic number.

36413130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36413130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47738880).

36413130 is an abundant number, since it is smaller than the sum of its proper divisors (59064630).

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

36413130 is a wasteful number, since it uses less digits than its factorization.

36413130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 36413130 is about 6034.3292916446. The cubic root of 36413130 is about 331.4510027249.

Adding to 36413130 its reverse (3131463), we get a palindrome (39544593).

The spelling of 36413130 in words is "thirty-six million, four hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 73 78 130 146 195 219 365 390 438 730 949 1095 1279 1898 2190 2558 2847 3837 4745 5694 6395 7674 9490 12790 14235 16627 19185 28470 33254 38370 49881 83135 93367 99762 166270 186734 249405 280101 466835 498810 560202 933670 1213771 1400505 2427542 2801010 3641313 6068855 7282626 12137710 18206565 36413130