Search a number
-
+
239149000 = 2353379631
BaseRepresentation
bin11100100000100…
…01111111001000
3121200000000202101
432100101333020
5442210232000
635421443144
75632506256
oct1620217710
9550000671
10239149000
11112aa2202
12681104b4
133a7136ac
1423a935d6
1515edde6a
hexe411fc8

239149000 has 64 divisors (see below), whose sum is σ = 561974400. Its totient is φ = 95256000.

The previous prime is 239148989. The next prime is 239149021. The reversal of 239149000 is 941932.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 239149000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378685 + ... + 379315.

It is an arithmetic number, because the mean of its divisors is an integer number (8780850).

Almost surely, 2239149000 is an apocalyptic number.

239149000 is a gapful number since it is divisible by the number (20) 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 239149000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280987200).

239149000 is an abundant number, since it is smaller than the sum of its proper divisors (322825400).

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

239149000 is a wasteful number, since it uses less digits than its factorization.

239149000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 239149000 is about 15464.4430872890. The cubic root of 239149000 is about 620.7111160807.

The spelling of 239149000 in words is "two hundred thirty-nine million, one hundred forty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 379 500 631 758 1000 1262 1516 1895 2524 3032 3155 3790 5048 6310 7580 9475 12620 15160 15775 18950 25240 31550 37900 47375 63100 75800 78875 94750 126200 157750 189500 239149 315500 379000 478298 631000 956596 1195745 1913192 2391490 4782980 5978725 9565960 11957450 23914900 29893625 47829800 59787250 119574500 239149000