Search a number
-
+
130575040 = 265537699
BaseRepresentation
bin1111100100001…
…10101011000000
3100002200220021121
413302012223000
5231411400130
620542402024
73143604151
oct762065300
9302626247
10130575040
1167784a62
1237890314
132108a44b
14134ad928
15b6e3d7a
hex7c86ac0

130575040 has 56 divisors (see below), whose sum is σ = 316839600. Its totient is φ = 51237888.

The previous prime is 130575017. The next prime is 130575061. The reversal of 130575040 is 40575031.

It is a junction number, because it is equal to n+sod(n) for n = 130574996 and 130575014.

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, 13111 + ... + 20809.

It is an arithmetic number, because the mean of its divisors is an integer number (5657850).

Almost surely, 2130575040 is an apocalyptic number.

130575040 is a gapful number since it is divisible by the number (10) 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 130575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158419800).

130575040 is an abundant number, since it is smaller than the sum of its proper divisors (186264560).

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

130575040 is an equidigital number, since it uses as much as digits as its factorization.

130575040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7769 (or 7759 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 130575040 is about 11426.9435983556. The cubic root of 130575040 is about 507.3255355723.

Subtracting from 130575040 its reverse (40575031), we obtain a palindrome (90000009).

The spelling of 130575040 in words is "one hundred thirty million, five hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 160 212 265 320 424 530 848 1060 1696 2120 3392 4240 7699 8480 15398 16960 30796 38495 61592 76990 123184 153980 246368 307960 408047 492736 615920 816094 1231840 1632188 2040235 2463680 3264376 4080470 6528752 8160940 13057504 16321880 26115008 32643760 65287520 130575040