Search a number
-
+
130060404 = 2235172463
BaseRepresentation
bin1111100000010…
…01000001110100
3100001201202100000
413300021001310
5231243413104
620523351300
73136331565
oct760110164
9301652300
10130060404
1167463341
1237682530
1320c3a126
14133b816c
15b641639
hex7c09074

130060404 has 108 divisors (see below), whose sum is σ = 362957504. Its totient is φ = 40715136.

The previous prime is 130060397. The next prime is 130060409. The reversal of 130060404 is 404060031.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130060409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 280677 + ... + 281139.

Almost surely, 2130060404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130060404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181478752).

130060404 is an abundant number, since it is smaller than the sum of its proper divisors (232897100).

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

130060404 is a wasteful number, since it uses less digits than its factorization.

130060404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 130060404 is about 11404.4028339935. The cubic root of 130060404 is about 506.6581498645.

The spelling of 130060404 in words is "one hundred thirty million, sixty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 289 306 324 459 463 486 578 612 867 918 926 972 1156 1377 1389 1734 1836 1852 2601 2754 2778 3468 4131 4167 5202 5508 5556 7803 7871 8262 8334 10404 12501 15606 15742 16524 16668 23409 23613 25002 31212 31484 37503 46818 47226 50004 70227 70839 75006 93636 94452 112509 133807 140454 141678 150012 212517 225018 267614 280908 283356 401421 425034 450036 535228 637551 802842 850068 1204263 1275102 1605684 1912653 2408526 2550204 3612789 3825306 4817052 7225578 7650612 10838367 14451156 21676734 32515101 43353468 65030202 130060404