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130514544 = 2433397761
BaseRepresentation
bin1111100011101…
…11111001110000
3100002120211022000
413301313321300
5231402431134
620541214000
73143232606
oct761677160
9302524260
10130514544
1167743566
1237861300
1321068a54
1413495876
15b6d0e99
hex7c77e70

130514544 has 80 divisors (see below), whose sum is σ = 376062240. Its totient is φ = 43338240.

The previous prime is 130514519. The next prime is 130514551. The reversal of 130514544 is 445415031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171124 + ... + 171884.

It is an arithmetic number, because the mean of its divisors is an integer number (4700778).

Almost surely, 2130514544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130514544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188031120).

130514544 is an abundant number, since it is smaller than the sum of its proper divisors (245547696).

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

130514544 is a wasteful number, since it uses less digits than its factorization.

130514544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 130514544 is about 11424.2962146471. The cubic root of 130514544 is about 507.2471747395.

Adding to 130514544 its reverse (445415031), we get a palindrome (575929575).

The spelling of 130514544 in words is "one hundred thirty million, five hundred fourteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 397 432 761 794 1191 1522 1588 2283 2382 3044 3176 3573 4566 4764 6088 6352 6849 7146 9132 9528 10719 12176 13698 14292 18264 19056 20547 21438 27396 28584 36528 41094 42876 54792 57168 82188 85752 109584 164376 171504 302117 328752 604234 906351 1208468 1812702 2416936 2719053 3625404 4833872 5438106 7250808 8157159 10876212 14501616 16314318 21752424 32628636 43504848 65257272 130514544