Search a number
-
+
115826130 = 232571131627
BaseRepresentation
bin1101110011101…
…01110111010010
322001221120120200
412321311313102
5214122414010
615254320030
72604335340
oct671656722
9261846520
10115826130
115a420982
1232959016
131acc5194
1411550990
15a27dcc0
hex6e75dd2

115826130 has 96 divisors (see below), whose sum is σ = 347428224. Its totient is φ = 26224128.

The previous prime is 115826101. The next prime is 115826141. The reversal of 115826130 is 31628511.

It is a junction number, because it is equal to n+sod(n) for n = 115826094 and 115826103.

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 47 ways as a sum of consecutive naturals, for example, 70377 + ... + 72003.

It is an arithmetic number, because the mean of its divisors is an integer number (3619044).

Almost surely, 2115826130 is an apocalyptic number.

115826130 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 115826130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173714112).

115826130 is an abundant number, since it is smaller than the sum of its proper divisors (231602094).

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

115826130 is a wasteful number, since it uses less digits than its factorization.

115826130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 115826130 is about 10762.2548752573. The cubic root of 115826130 is about 487.4561065017.

The spelling of 115826130 in words is "one hundred fifteen million, eight hundred twenty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 113 126 210 226 315 339 565 630 678 791 1017 1130 1582 1627 1695 2034 2373 3254 3390 3955 4746 4881 5085 7119 7910 8135 9762 10170 11389 11865 14238 14643 16270 22778 23730 24405 29286 34167 35595 48810 56945 68334 71190 73215 102501 113890 146430 170835 183851 205002 341670 367702 512505 551553 919255 1025010 1103106 1286957 1654659 1838510 2573914 2757765 3309318 3860871 5515530 6434785 7721742 8273295 11582613 12869570 16546590 19304355 23165226 38608710 57913065 115826130