Search a number
-
+
105131480 = 2354755921
BaseRepresentation
bin1100100010000…
…10110111011000
321022211020021112
412101002313120
5203403201410
614233155452
72414413526
oct621026730
9238736245
10105131480
1154386923
122b25bb88
1318a1c39c
14dd69316
15936a105
hex6442dd8

105131480 has 32 divisors (see below), whose sum is σ = 241583040. Its totient is φ = 41157120.

The previous prime is 105131443. The next prime is 105131491. The reversal of 105131480 is 84131501.

It is a super-2 number, since 2×1051314802 = 22105256173980800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26081 + ... + 29840.

It is an arithmetic number, because the mean of its divisors is an integer number (7549470).

Almost surely, 2105131480 is an apocalyptic number.

105131480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105131480 is an abundant number, since it is smaller than the sum of its proper divisors (136451560).

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

105131480 is a wasteful number, since it uses less digits than its factorization.

105131480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55979 (or 55975 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 105131480 is about 10253.3643259176. The cubic root of 105131480 is about 471.9662309461.

Adding to 105131480 its reverse (84131501), we get a palindrome (189262981).

The spelling of 105131480 in words is "one hundred five million, one hundred thirty-one thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1880 55921 111842 223684 279605 447368 559210 1118420 2236840 2628287 5256574 10513148 13141435 21026296 26282870 52565740 105131480