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239482080 = 25325198753
BaseRepresentation
bin11100100011000…
…11010011100000
3121200121221122200
432101203103200
5442301411310
635432533200
75635364325
oct1621432340
9550557580
10239482080
111131aa482
1268251200
133a7cc196
1423b3cb4c
15160579c0
hexe4634e0

239482080 has 144 divisors (see below), whose sum is σ = 860343120. Its totient is φ = 60493824.

The previous prime is 239482073. The next prime is 239482081. The reversal of 239482080 is 80284932.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2394820802 = 114703333282252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239482081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22984 + ... + 31736.

It is an arithmetic number, because the mean of its divisors is an integer number (5974605).

Almost surely, 2239482080 is an apocalyptic number.

239482080 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 239482080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430171560).

239482080 is an abundant number, since it is smaller than the sum of its proper divisors (620861040).

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

239482080 is a wasteful number, since it uses less digits than its factorization.

239482080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8793 (or 8782 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 239482080 is about 15475.2085607917. The cubic root of 239482080 is about 620.9991520600. Note that the first 3 decimals are identical.

The spelling of 239482080 in words is "two hundred thirty-nine million, four hundred eighty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5472 6840 8753 9120 13680 17506 26259 27360 35012 43765 52518 70024 78777 87530 105036 131295 140048 157554 166307 175060 210072 262590 280096 315108 332614 350120 393885 420144 498921 525180 630216 665228 700240 787770 831535 840288 997842 1050360 1260432 1330456 1400480 1496763 1575540 1663070 1995684 2100720 2494605 2520864 2660912 2993526 3151080 3326140 3991368 4201440 4989210 5321824 5987052 6302160 6652280 7483815 7982736 9978420 11974104 12604320 13304560 14967630 15965472 19956840 23948208 26609120 29935260 39913680 47896416 59870520 79827360 119741040 239482080