Search a number
-
+
239354080 = 2557474547
BaseRepresentation
bin11100100010001…
…00000011100000
3121200101110001221
432101010003200
5442233312310
635430104424
75634322210
oct1621040340
9550343057
10239354080
11113122299
12681ab114
133a785b44
1423b08240
151602eada
hexe4440e0

239354080 has 96 divisors (see below), whose sum is σ = 660151296. Its totient is φ = 80300544.

The previous prime is 239354053. The next prime is 239354107. The reversal of 239354080 is 80453932.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (239354053) and next prime (239354107).

It is a super-2 number, since 2×2393540802 = 114580751225292800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50367 + ... + 54913.

It is an arithmetic number, because the mean of its divisors is an integer number (6876576).

Almost surely, 2239354080 is an apocalyptic number.

239354080 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 239354080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330075648).

239354080 is an abundant number, since it is smaller than the sum of its proper divisors (420797216).

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

239354080 is a wasteful number, since it uses less digits than its factorization.

239354080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4616 (or 4608 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 239354080 is about 15471.0723610227. The cubic root of 239354080 is about 620.8884937351. Note that the first 3 decimals are identical.

The spelling of 239354080 in words is "two hundred thirty-nine million, three hundred fifty-four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 47 56 70 80 94 112 140 160 188 224 235 280 329 376 470 560 658 752 940 1120 1316 1504 1645 1880 2632 3290 3760 4547 5264 6580 7520 9094 10528 13160 18188 22735 26320 31829 36376 45470 52640 63658 72752 90940 127316 145504 159145 181880 213709 254632 318290 363760 427418 509264 636580 727520 854836 1018528 1068545 1273160 1495963 1709672 2137090 2546320 2991926 3419344 4274180 5092640 5983852 6838688 7479815 8548360 11967704 14959630 17096720 23935408 29919260 34193440 47870816 59838520 119677040 239354080