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130105856 = 2959273
BaseRepresentation
bin1111100000101…
…00001000000000
3100001211001200102
413300110020000
5231301341411
620524341532
73136611236
oct760241000
9301731612
10130105856
1167494501
12376a48a8
1320c54a1a
14133ca956
15b64ed3b
hex7c14200

130105856 has 60 divisors (see below), whose sum is σ = 268060782. Its totient is φ = 63074304.

The previous prime is 130105849. The next prime is 130105889. The reversal of 130105856 is 658501031.

It can be written as a sum of positive squares in only one way, i.e., 107827456 + 22278400 = 10384^2 + 4720^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1782236 + ... + 1782308.

Almost surely, 2130105856 is an apocalyptic number.

130105856 is a gapful number since it is divisible by the number (16) 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 130105856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134030391).

130105856 is an abundant number, since it is smaller than the sum of its proper divisors (137954926).

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

130105856 is an frugal number, since it uses more digits than its factorization.

130105856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 130105856 is about 11406.3953990733. The cubic root of 130105856 is about 506.7171633266.

Adding to 130105856 its reverse (658501031), we get a palindrome (788606887).

The spelling of 130105856 in words is "one hundred thirty million, one hundred five thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 59 64 73 118 128 146 236 256 292 472 512 584 944 1168 1888 2336 3481 3776 4307 4672 6962 7552 8614 9344 13924 15104 17228 18688 27848 30208 34456 37376 55696 68912 111392 137824 222784 254113 275648 445568 508226 551296 891136 1016452 1102592 1782272 2032904 2205184 4065808 8131616 16263232 32526464 65052928 130105856