Search a number
-
+
6654131130 = 235679734129
BaseRepresentation
bin1100011001001110…
…11111101110111010
3122011201220212220010
412030213133232322
5102111424144010
63020141042350
7323616116133
oct61447375672
918151825803
106654131130
1129050a1229
1213585563b6
138207681ca
14471a46c8a
1528e299620
hex18c9dfbba

6654131130 has 64 divisors (see below), whose sum is σ = 16375847040. Its totient is φ = 1729880064.

The previous prime is 6654131123. The next prime is 6654131149. The reversal of 6654131130 is 311314566.

It is a super-2 number, since 2×66541311302 = 88554922190470153800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177906 + ... + 212034.

It is an arithmetic number, because the mean of its divisors is an integer number (255872610).

Almost surely, 26654131130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6654131130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8187923520).

6654131130 is an abundant number, since it is smaller than the sum of its proper divisors (9721715910).

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

6654131130 is a wasteful number, since it uses less digits than its factorization.

6654131130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34303.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 6654131130 is about 81572.8578020900. The cubic root of 6654131130 is about 1880.8916784538.

Adding to 6654131130 its reverse (311314566), we get a palindrome (6965445696).

The spelling of 6654131130 in words is "six billion, six hundred fifty-four million, one hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 67 97 134 194 201 291 335 402 485 582 670 970 1005 1455 2010 2910 6499 12998 19497 32495 34129 38994 64990 68258 97485 102387 170645 194970 204774 341290 511935 1023870 2286643 3310513 4573286 6621026 6859929 9931539 11433215 13719858 16552565 19863078 22866430 33105130 34299645 49657695 68599290 99315390 221804371 443608742 665413113 1109021855 1330826226 2218043710 3327065565 6654131130