Search a number
-
+
130001144 = 23713283631
BaseRepresentation
bin1111011111110…
…10100011111000
3100001121202001012
413233322203320
5231240014034
620522213052
73135664040
oct757724370
9301552035
10130001144
1167422869
1237654188
1320c19170
14133a0720
15b62dcce
hex7bfa8f8

130001144 has 64 divisors (see below), whose sum is σ = 301539840. Its totient is φ = 51166080.

The previous prime is 130001117. The next prime is 130001149. The reversal of 130001144 is 441100031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130001149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205709 + ... + 206339.

It is an arithmetic number, because the mean of its divisors is an integer number (4711560).

Almost surely, 2130001144 is an apocalyptic number.

130001144 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 130001144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150769920).

130001144 is an abundant number, since it is smaller than the sum of its proper divisors (171538696).

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

130001144 is a wasteful number, since it uses less digits than its factorization.

130001144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 130001144 is about 11401.8044185997. The cubic root of 130001144 is about 506.5811878729.

Adding to 130001144 its reverse (441100031), we get a palindrome (571101175).

The spelling of 130001144 in words is "one hundred thirty million, one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 283 364 566 631 728 1132 1262 1981 2264 2524 3679 3962 4417 5048 7358 7924 8203 8834 14716 15848 16406 17668 25753 29432 32812 35336 51506 57421 65624 103012 114842 178573 206024 229684 357146 459368 714292 1250011 1428584 2321449 2500022 4642898 5000044 9285796 10000088 16250143 18571592 32500286 65000572 130001144