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130405520 = 2457337691
BaseRepresentation
bin1111100010111…
…01010010010000
3100002101021202002
413301131102100
5231340434040
620535013132
73142300010
oct761352220
9302337662
10130405520
1167679663
123780a1a8
132102b23b
1413467c40
15b6ada15
hex7c5d490

130405520 has 80 divisors (see below), whose sum is σ = 348037248. Its totient is φ = 44513280.

The previous prime is 130405511. The next prime is 130405523. The reversal of 130405520 is 25504031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 130405492 and 130405501.

It is not an unprimeable number, because it can be changed into a prime (130405523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188375 + ... + 189065.

Almost surely, 2130405520 is an apocalyptic number.

130405520 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 130405520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174018624).

130405520 is an abundant number, since it is smaller than the sum of its proper divisors (217631728).

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

130405520 is a wasteful number, since it uses less digits than its factorization.

130405520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 130405520 is about 11419.5236327966. The cubic root of 130405520 is about 507.1058941330.

Adding to 130405520 its reverse (25504031), we get a palindrome (155909551).

The spelling of 130405520 in words is "one hundred thirty million, four hundred five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 337 560 674 691 1348 1382 1685 2359 2696 2764 3370 3455 4718 4837 5392 5528 6740 6910 9436 9674 11056 11795 13480 13820 18872 19348 23590 24185 26960 27640 37744 38696 47180 48370 55280 77392 94360 96740 188720 193480 232867 386960 465734 931468 1164335 1630069 1862936 2328670 3260138 3725872 4657340 6520276 8150345 9314680 13040552 16300690 18629360 26081104 32601380 65202760 130405520