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130513888 = 2519972213
BaseRepresentation
bin1111100011101…
…11101111100000
3100002120210101201
413301313233200
5231402421023
620541210544
73143230651
oct761675740
9302523351
10130513888
116774301a
1237860a54
132106866b
1413495528
15b6d0bad
hex7c77be0

130513888 has 48 divisors (see below), whose sum is σ = 273384720. Its totient is φ = 61157376.

The previous prime is 130513849. The next prime is 130513919. The reversal of 130513888 is 888315031.

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 7 ways as a sum of consecutive naturals, for example, 57870 + ... + 60082.

It is an arithmetic number, because the mean of its divisors is an integer number (5695515).

Almost surely, 2130513888 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 130513888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136692360).

130513888 is an abundant number, since it is smaller than the sum of its proper divisors (142870832).

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

130513888 is a wasteful number, since it uses less digits than its factorization.

130513888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 130513888 is about 11424.2675038709. The cubic root of 130513888 is about 507.2463248861.

The spelling of 130513888 in words is "one hundred thirty million, five hundred thirteen thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 19 32 38 76 97 152 194 304 388 608 776 1552 1843 2213 3104 3686 4426 7372 8852 14744 17704 29488 35408 42047 58976 70816 84094 168188 214661 336376 429322 672752 858644 1345504 1717288 3434576 4078559 6869152 8157118 16314236 32628472 65256944 130513888