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130610016 = 2533151169
BaseRepresentation
bin1111100100011…
…11001101100000
3100002202200021000
413302033031200
5231414010031
620543232000
73144111135
oct762171540
9302680230
10130610016
11677a9269
12378a8600
13210a0344
14134bc58c
15b6ee3e6
hex7c8f360

130610016 has 48 divisors (see below), whose sum is σ = 380948400. Its totient is φ = 43536384.

The previous prime is 130610003. The next prime is 130610021. The reversal of 130610016 is 610016031.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74721 + ... + 76448.

It is an arithmetic number, because the mean of its divisors is an integer number (7936425).

Almost surely, 2130610016 is an apocalyptic number.

130610016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130610016 is an abundant number, since it is smaller than the sum of its proper divisors (250338384).

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

130610016 is a wasteful number, since it uses less digits than its factorization.

130610016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151188 (or 151174 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 130610016 is about 11428.4739138697. The cubic root of 130610016 is about 507.3708291543.

Adding to 130610016 its reverse (610016031), we get a palindrome (740626047).

The spelling of 130610016 in words is "one hundred thirty million, six hundred ten thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 151169 302338 453507 604676 907014 1209352 1360521 1814028 2418704 2721042 3628056 4081563 4837408 5442084 7256112 8163126 10884168 14512224 16326252 21768336 32652504 43536672 65305008 130610016