Search a number
-
+
191381008 = 24713210111
BaseRepresentation
bin10110110100000…
…11111000010000
3111100010011101111
423122003320100
5342443143013
630553543104
74512466060
oct1332037020
9440104344
10191381008
1199036425
1254114a94
133085a200
141b5bb3a0
1511c0573d
hexb683e10

191381008 has 60 divisors (see below), whose sum is σ = 458923008. Its totient is φ = 75703680.

The previous prime is 191380993. The next prime is 191381017. The reversal of 191381008 is 800183191.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13873 + ... + 23983.

Almost surely, 2191381008 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 191381008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229461504).

191381008 is an abundant number, since it is smaller than the sum of its proper divisors (267542000).

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

191381008 is a wasteful number, since it uses less digits than its factorization.

191381008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10152 (or 10133 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 31.

The square root of 191381008 is about 13834.0524792990. The cubic root of 191381008 is about 576.2792017048.

The spelling of 191381008 in words is "one hundred ninety-one million, three hundred eighty-one thousand, eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 169 182 208 338 364 676 728 1183 1352 1456 2366 2704 4732 9464 10111 18928 20222 40444 70777 80888 131443 141554 161776 262886 283108 525772 566216 920101 1051544 1132432 1708759 1840202 2103088 3417518 3680404 6835036 7360808 11961313 13670072 14721616 23922626 27340144 47845252 95690504 191381008