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130014024 = 23374191847
BaseRepresentation
bin1111011111111…
…01101101001000
3100001122101201020
413233331231020
5231240422044
620522352440
73136046430
oct757755510
9301571636
10130014024
1167431508
123765b720
1320c21c9a
14133a52c0
15b632a19
hex7bfdb48

130014024 has 64 divisors (see below), whose sum is σ = 372556800. Its totient is φ = 37038144.

The previous prime is 130014019. The next prime is 130014037. The reversal of 130014024 is 420410031.

It is a junction number, because it is equal to n+sod(n) for n = 130013994 and 130014012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69469 + ... + 71315.

It is an arithmetic number, because the mean of its divisors is an integer number (5821200).

Almost surely, 2130014024 is an apocalyptic number.

130014024 is a gapful number since it is divisible by the number (14) 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 130014024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186278400).

130014024 is an abundant number, since it is smaller than the sum of its proper divisors (242542776).

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

130014024 is a wasteful number, since it uses less digits than its factorization.

130014024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 130014024 is about 11402.3692274895. The cubic root of 130014024 is about 506.5979173416.

Adding to 130014024 its reverse (420410031), we get a palindrome (550424055).

The spelling of 130014024 in words is "one hundred thirty million, fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 419 838 1257 1676 1847 2514 2933 3352 3694 5028 5541 5866 7388 8799 10056 11082 11732 12929 14776 17598 22164 23464 25858 35196 38787 44328 51716 70392 77574 103432 155148 310296 773893 1547786 2321679 3095572 4643358 5417251 6191144 9286716 10834502 16251753 18573432 21669004 32503506 43338008 65007012 130014024