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125471440 = 24519233797
BaseRepresentation
bin1110111101010…
…00101011010000
322202002121110101
413132220223100
5224110041230
620241142144
73052326643
oct736505320
9282077411
10125471440
1164909606
123602a954
131ccc1473
1412941a5a
15b036aca
hex77a8ad0

125471440 has 160 divisors (see below), whose sum is σ = 332478720. Its totient is φ = 43794432.

The previous prime is 125471431. The next prime is 125471443. The reversal of 125471440 is 44174521.

It is a junction number, because it is equal to n+sod(n) for n = 125471399 and 125471408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125471443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1293472 + ... + 1293568.

It is an arithmetic number, because the mean of its divisors is an integer number (2077992).

Almost surely, 2125471440 is an apocalyptic number.

125471440 is a gapful number since it is divisible by the number (10) 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 125471440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166239360).

125471440 is an abundant number, since it is smaller than the sum of its proper divisors (207007280).

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

125471440 is a wasteful number, since it uses less digits than its factorization.

125471440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 125471440 is about 11201.4034834926. The cubic root of 125471440 is about 500.6277980759.

The spelling of 125471440 in words is "one hundred twenty-five million, four hundred seventy-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 23 37 38 40 46 74 76 80 92 95 97 115 148 152 184 185 190 194 230 296 304 368 370 380 388 437 460 485 592 703 740 760 776 851 874 920 970 1406 1480 1520 1552 1702 1748 1840 1843 1940 2185 2231 2812 2960 3404 3496 3515 3589 3686 3880 4255 4370 4462 5624 6808 6992 7030 7178 7372 7760 8510 8740 8924 9215 11155 11248 13616 14060 14356 14744 16169 17020 17480 17848 17945 18430 22310 28120 28712 29488 32338 34040 34960 35696 35890 36860 42389 44620 56240 57424 64676 68080 68191 71780 73720 80845 82547 84778 89240 129352 136382 143560 147440 161690 165094 169556 178480 211945 258704 272764 287120 323380 330188 339112 340955 412735 423890 545528 646760 660376 678224 681910 825470 847780 1091056 1293520 1320752 1363820 1568393 1650940 1695560 2727640 3136786 3301880 3391120 5455280 6273572 6603760 7841965 12547144 15683930 25094288 31367860 62735720 125471440