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130521040 = 24513413061
BaseRepresentation
bin1111100011110…
…01011111010000
3100002121011012121
413301321133100
5231403133130
620541304024
73143260546
oct761713720
9302534177
10130521040
1167748431
1237865014
132106b9b0
1413497d96
15b6d2d7a
hex7c797d0

130521040 has 80 divisors (see below), whose sum is σ = 334884816. Its totient is φ = 47001600.

The previous prime is 130521011. The next prime is 130521047. The reversal of 130521040 is 40125031.

It can be written as a sum of positive squares in 8 ways, for example, as 8904256 + 121616784 = 2984^2 + 11028^2 .

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 (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130521047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41110 + ... + 44170.

Almost surely, 2130521040 is an apocalyptic number.

130521040 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 130521040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167442408).

130521040 is an abundant number, since it is smaller than the sum of its proper divisors (204363776).

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

130521040 is a wasteful number, since it uses less digits than its factorization.

130521040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3128 (or 3122 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 130521040 is about 11424.5805174632. The cubic root of 130521040 is about 507.2555902077.

Adding to 130521040 its reverse (40125031), we get a palindrome (170646071).

The spelling of 130521040 in words is "one hundred thirty million, five hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 41 52 65 80 82 104 130 164 205 208 260 328 410 520 533 656 820 1040 1066 1640 2132 2665 3061 3280 4264 5330 6122 8528 10660 12244 15305 21320 24488 30610 39793 42640 48976 61220 79586 122440 125501 159172 198965 244880 251002 318344 397930 502004 627505 636688 795860 1004008 1255010 1591720 1631513 2008016 2510020 3183440 3263026 5020040 6526052 8157565 10040080 13052104 16315130 26104208 32630260 65260520 130521040