Search a number
-
+
130801648 = 2431307859
BaseRepresentation
bin1111100101111…
…01111111110000
3100010010102010111
413302331333300
5231441123043
620551311104
73145536625
oct762757760
9303112114
10130801648
116791a23a
123797b494
1321139633
141352c34c
15b73b09d
hex7cbdff0

130801648 has 40 divisors (see below), whose sum is σ = 262760960. Its totient is φ = 63011520.

The previous prime is 130801613. The next prime is 130801661. The reversal of 130801648 is 846108031.

It is a super-2 number, since 2×1308016482 = 34218142239031808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151843 + ... + 152701.

It is an arithmetic number, because the mean of its divisors is an integer number (6569024).

Almost surely, 2130801648 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 130801648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131380480).

130801648 is an abundant number, since it is smaller than the sum of its proper divisors (131959312).

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

130801648 is a wasteful number, since it uses less digits than its factorization.

130801648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 130801648 is about 11436.8548124036. The cubic root of 130801648 is about 507.6188473307.

Adding to 130801648 its reverse (846108031), we get a palindrome (976909679).

The spelling of 130801648 in words is "one hundred thirty million, eight hundred one thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 31 62 124 248 307 496 614 859 1228 1718 2456 3436 4912 6872 9517 13744 19034 26629 38068 53258 76136 106516 152272 213032 263713 426064 527426 1054852 2109704 4219408 8175103 16350206 32700412 65400824 130801648