Search a number
-
+
130015710 = 232511211939
BaseRepresentation
bin1111011111111…
…10000111011110
3100001122111000200
413233332013132
5231241000320
620522404330
73136054356
oct757760736
9301574020
10130015710
1167432800
12376606a6
1320c22996
14133a5b66
15b633290
hex7bfe1de

130015710 has 72 divisors (see below), whose sum is σ = 371596680. Its totient is φ = 31516320.

The previous prime is 130015709. The next prime is 130015723. The reversal of 130015710 is 17510031.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4921 + ... + 16859.

It is an arithmetic number, because the mean of its divisors is an integer number (5161065).

Almost surely, 2130015710 is an apocalyptic number.

130015710 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 130015710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185798340).

130015710 is an abundant number, since it is smaller than the sum of its proper divisors (241580970).

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

130015710 is a wasteful number, since it uses less digits than its factorization.

130015710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11974 (or 11960 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 130015710 is about 11402.4431592532. The cubic root of 130015710 is about 506.6001071577.

Adding to 130015710 its reverse (17510031), we get a palindrome (147525741).

The spelling of 130015710 in words is "one hundred thirty million, fifteen thousand, seven hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 5445 10890 11939 23878 35817 59695 71634 107451 119390 131329 179085 214902 262658 358170 393987 537255 656645 787974 1074510 1181961 1313290 1444619 1969935 2363922 2889238 3939870 4333857 5909805 7223095 8667714 11819610 13001571 14446190 21669285 26003142 43338570 65007855 130015710