Search a number
-
+
130148928 = 26327132191
BaseRepresentation
bin1111100000111…
…10101001000000
3100001220020202200
413300132221000
5231304231203
620525313200
73140150640
oct760365100
9301806680
10130148928
11675138a8
1237705800
1320c6b500
14133dc520
15b65c9a3
hex7c1ea40

130148928 has 252 divisors, whose sum is σ = 464076288. Its totient is φ = 34145280.

The previous prime is 130148891. The next prime is 130148939. The reversal of 130148928 is 829841031.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 130148892 and 130148901.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 681313 + ... + 681503.

Almost surely, 2130148928 is an apocalyptic number.

130148928 is a gapful number since it is divisible by the number (18) 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 130148928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232038144).

130148928 is an abundant number, since it is smaller than the sum of its proper divisors (333927360).

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

130148928 is a wasteful number, since it uses less digits than its factorization.

130148928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 130148928 is about 11408.2833064401. The cubic root of 130148928 is about 506.7730739887.

Adding to 130148928 its reverse (829841031), we get a palindrome (959989959).

The spelling of 130148928 in words is "one hundred thirty million, one hundred forty-eight thousand, nine hundred twenty-eight".