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239125120 = 2751341701
BaseRepresentation
bin11100100000011…
…00001010000000
3121122221210222221
432100030022000
5442204000440
635421140424
75632346533
oct1620141200
9548853887
10239125120
11112a86273
12680ba714
133a705870
1423a88a1a
1515ed6d4a
hexe40c280

239125120 has 128 divisors (see below), whose sum is σ = 631547280. Its totient is φ = 86016000.

The previous prime is 239125091. The next prime is 239125141. The reversal of 239125120 is 21521932.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 43349056 + 195776064 = 6584^2 + 13992^2 .

It is a tau number, because it is divible by the number of its divisors (128).

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, 340770 + ... + 341470.

Almost surely, 2239125120 is an apocalyptic number.

239125120 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 239125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315773640).

239125120 is an abundant number, since it is smaller than the sum of its proper divisors (392422160).

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

239125120 is a wasteful number, since it uses less digits than its factorization.

239125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 239125120 is about 15463.6709742545. The cubic root of 239125120 is about 620.6904552168.

The spelling of 239125120 in words is "two hundred thirty-nine million, one hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 41 52 64 65 80 82 104 128 130 160 164 205 208 260 320 328 410 416 520 533 640 656 701 820 832 1040 1066 1312 1402 1640 1664 2080 2132 2624 2665 2804 3280 3505 4160 4264 5248 5330 5608 6560 7010 8320 8528 9113 10660 11216 13120 14020 17056 18226 21320 22432 26240 28040 28741 34112 36452 42640 44864 45565 56080 57482 68224 72904 85280 89728 91130 112160 114964 143705 145808 170560 182260 224320 229928 287410 291616 341120 364520 373633 448640 459856 574820 583232 729040 747266 919712 1149640 1166464 1458080 1494532 1839424 1868165 2299280 2916160 2989064 3678848 3736330 4598560 5832320 5978128 7472660 9197120 11956256 14945320 18394240 23912512 29890640 47825024 59781280 119562560 239125120