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130267520 = 275892287
BaseRepresentation
bin1111100001110…
…11100110000000
3100002010021102222
413300323212000
5231322030040
620532030212
73141153455
oct760734600
9302107388
10130267520
1167594a09
1237762368
1320cb0496
141342d82c
15b682bb5
hex7c3b980

130267520 has 64 divisors (see below), whose sum is σ = 315057600. Its totient is φ = 51499008.

The previous prime is 130267517. The next prime is 130267523. The reversal of 130267520 is 25762031.

It is an interprime number because it is at equal distance from previous prime (130267517) and next prime (130267523).

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 130267520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130267523) 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 7 ways as a sum of consecutive naturals, for example, 55817 + ... + 58103.

It is an arithmetic number, because the mean of its divisors is an integer number (4922775).

Almost surely, 2130267520 is an apocalyptic number.

130267520 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 130267520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157528800).

130267520 is an abundant number, since it is smaller than the sum of its proper divisors (184790080).

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

130267520 is an equidigital number, since it uses as much as digits as its factorization.

130267520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 130267520 is about 11413.4797498397. The cubic root of 130267520 is about 506.9269515205.

The spelling of 130267520 in words is "one hundred thirty million, two hundred sixty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 128 160 178 320 356 445 640 712 890 1424 1780 2287 2848 3560 4574 5696 7120 9148 11392 11435 14240 18296 22870 28480 36592 45740 56960 73184 91480 146368 182960 203543 292736 365920 407086 731840 814172 1017715 1463680 1628344 2035430 3256688 4070860 6513376 8141720 13026752 16283440 26053504 32566880 65133760 130267520