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2025018960 = 2435291312221
BaseRepresentation
bin111100010110011…
…0101011001010000
312020010102121210020
41320230311121100
513121401101320
6532535103440
7101116243236
oct17054653120
95203377706
102025018960
1194a085798
12486211b80
132636c7093
14152d2c956
15bcba5940
hex78b35650

2025018960 has 160 divisors (see below), whose sum is σ = 6546545280. Its totient is φ = 517171200.

The previous prime is 2025018949. The next prime is 2025018967. The reversal of 2025018960 is 698105202.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2025018967) 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, 910650 + ... + 912870.

It is an arithmetic number, because the mean of its divisors is an integer number (40915908).

Almost surely, 22025018960 is an apocalyptic number.

2025018960 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 2025018960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273272640).

2025018960 is an abundant number, since it is smaller than the sum of its proper divisors (4521526320).

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

2025018960 is a wasteful number, since it uses less digits than its factorization.

2025018960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 2025018960 is about 45000.2106661736. The cubic root of 2025018960 is about 1265.1529464547.

The spelling of 2025018960 in words is "two billion, twenty-five million, eighteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 131 145 174 232 240 262 290 348 393 435 464 524 580 655 696 786 870 1048 1160 1310 1392 1572 1740 1965 2096 2221 2320 2620 3144 3480 3799 3930 4442 5240 6288 6663 6960 7598 7860 8884 10480 11105 11397 13326 15196 15720 17768 18995 22210 22794 26652 30392 31440 33315 35536 37990 44420 45588 53304 56985 60784 64409 66630 75980 88840 91176 106608 113970 128818 133260 151960 177680 182352 193227 227940 257636 266520 290951 303920 322045 386454 455880 515272 533040 581902 644090 772908 872853 911760 966135 1030544 1163804 1288180 1454755 1545816 1745706 1932270 2327608 2576360 2909510 3091632 3491412 3864540 4364265 4655216 5152720 5819020 6982824 7729080 8437579 8728530 11638040 13965648 15458160 16875158 17457060 23276080 25312737 33750316 34914120 42187895 50625474 67500632 69828240 84375790 101250948 126563685 135001264 168751580 202501896 253127370 337503160 405003792 506254740 675006320 1012509480 2025018960