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239588140 = 225111729472
BaseRepresentation
bin11100100011111…
…01001100101100
3121200211100010211
432101331030230
5442313310030
635435112204
75636315461
oct1621751454
9550740124
10239588140
11113272130
12682a2664
133a83853c
1423b69668
151607912a
hexe47d32c

239588140 has 144 divisors (see below), whose sum is σ = 614265120. Its totient is φ = 77486080.

The previous prime is 239588101. The next prime is 239588161. The reversal of 239588140 is 41885932.

It is a junction number, because it is equal to n+sod(n) for n = 239588093 and 239588102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5097597 + ... + 5097643.

It is an arithmetic number, because the mean of its divisors is an integer number (4265730).

Almost surely, 2239588140 is an apocalyptic number.

239588140 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 239588140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307132560).

239588140 is an abundant number, since it is smaller than the sum of its proper divisors (374676980).

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

239588140 is a wasteful number, since it uses less digits than its factorization.

239588140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 239588140 is about 15478.6349527340. The cubic root of 239588140 is about 621.0908129885.

The spelling of 239588140 in words is "two hundred thirty-nine million, five hundred eighty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 29 34 44 47 55 58 68 85 94 110 116 145 170 187 188 220 235 290 319 340 374 470 493 517 580 638 748 799 935 940 986 1034 1276 1363 1595 1598 1870 1972 2068 2209 2465 2585 2726 3190 3196 3740 3995 4418 4930 5170 5423 5452 6380 6815 7990 8789 8836 9860 10340 10846 11045 13630 14993 15980 17578 21692 22090 23171 24299 27115 27260 29986 35156 37553 43945 44180 46342 48598 54230 59972 64061 74965 75106 87890 92684 97196 108460 115855 121495 128122 149930 150212 175780 187765 231710 242990 254881 256244 299860 320305 375530 413083 463420 485980 509762 640610 704671 751060 826166 1019524 1089037 1274405 1281220 1409342 1652332 2065415 2178074 2548810 2818684 3523355 4130830 4356148 5097620 5445185 7046710 8261660 10890370 11979407 14093420 21780740 23958814 47917628 59897035 119794070 239588140