Search a number
-
+
381598140 = 2235711151547
BaseRepresentation
bin10110101111101…
…011100110111100
3222121001012020110
4112233223212330
51240142120030
6101510550020
712312350010
oct2657534674
9877035213
10381598140
11186447370
12a7968310
136109a721
1438974540
152377b1b0
hex16beb9bc

381598140 has 192 divisors, whose sum is σ = 1343397888. Its totient is φ = 78624000.

The previous prime is 381598093. The next prime is 381598171. The reversal of 381598140 is 41895183.

381598140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 697347 + ... + 697893.

It is an arithmetic number, because the mean of its divisors is an integer number (6996864).

Almost surely, 2381598140 is an apocalyptic number.

381598140 is a gapful number since it is divisible by the number (30) 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 381598140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671698944).

381598140 is an abundant number, since it is smaller than the sum of its proper divisors (961799748).

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

381598140 is a wasteful number, since it uses less digits than its factorization.

381598140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 381598140 is about 19534.5371073901. The cubic root of 381598140 is about 725.3296257748.

The spelling of 381598140 in words is "three hundred eighty-one million, five hundred ninety-eight thousand, one hundred forty".