Search a number
-
+
130331376 = 24337247131
BaseRepresentation
bin1111100010010…
…11001011110000
3100002020112001000
413301023023300
5231331101001
620533242000
73141540600
oct761131360
9302215030
10130331376
116762898a
1237793300
1321003576
1413448c00
15b696a86
hex7c4b2f0

130331376 has 240 divisors, whose sum is σ = 447828480. Its totient is φ = 36167040.

The previous prime is 130331371. The next prime is 130331387. The reversal of 130331376 is 673133031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130331371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 994831 + ... + 994961.

It is an arithmetic number, because the mean of its divisors is an integer number (1865952).

Almost surely, 2130331376 is an apocalyptic number.

130331376 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 130331376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223914240).

130331376 is an abundant number, since it is smaller than the sum of its proper divisors (317497104).

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

130331376 is a wasteful number, since it uses less digits than its factorization.

130331376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 130331376 is about 11416.2768011292. The cubic root of 130331376 is about 507.0097683773.

The spelling of 130331376 in words is "one hundred thirty million, three hundred thirty-one thousand, three hundred seventy-six".