Search a number
-
+
130346664 = 23372271409
BaseRepresentation
bin1111100010011…
…10111010101000
3100002021022000020
413301032322220
5231332043124
620533440440
73141633300
oct761167250
9302238006
10130346664
1167639418
12377a0120
132100a506
1413450600
15b69b379
hex7c4eea8

130346664 has 96 divisors (see below), whose sum is σ = 381398400. Its totient is φ = 37013760.

The previous prime is 130346647. The next prime is 130346693. The reversal of 130346664 is 466643031.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318492 + ... + 318900.

It is an arithmetic number, because the mean of its divisors is an integer number (3972900).

Almost surely, 2130346664 is an apocalyptic number.

130346664 is a gapful number since it is divisible by the number (14) 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 130346664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190699200).

130346664 is an abundant number, since it is smaller than the sum of its proper divisors (251051736).

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

130346664 is a wasteful number, since it uses less digits than its factorization.

130346664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 130346664 is about 11416.9463518053. The cubic root of 130346664 is about 507.0295918522.

Adding to 130346664 its reverse (466643031), we get a palindrome (596989695).

The spelling of 130346664 in words is "one hundred thirty million, three hundred forty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 271 294 392 409 542 588 813 818 1084 1176 1227 1626 1636 1897 2168 2454 2863 3252 3272 3794 4908 5691 5726 6504 7588 8589 9816 11382 11452 13279 15176 17178 20041 22764 22904 26558 34356 39837 40082 45528 53116 60123 68712 79674 80164 106232 110839 120246 159348 160328 221678 240492 318696 332517 443356 480984 665034 775873 886712 1330068 1551746 2327619 2660136 3103492 4655238 5431111 6206984 9310476 10862222 16293333 18620952 21724444 32586666 43448888 65173332 130346664