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1980640640 = 27511353797
BaseRepresentation
bin111011000001110…
…0010110110000000
312010000220222011202
41312003202312000
513024021000030
6524312000332
7100040111336
oct16603426600
95100828152
101980640640
119270246a0
124733900a8
13257459714
1414b099b56
15b8d3b745
hex760e2d80

1980640640 has 128 divisors (see below), whose sum is σ = 5186553120. Its totient is φ = 717291520.

The previous prime is 1980640631. The next prime is 1980640657. The reversal of 1980640640 is 460460891.

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

It is a junction number, because it is equal to n+sod(n) for n = 1980640594 and 1980640603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2484722 + ... + 2485518.

Almost surely, 21980640640 is an apocalyptic number.

1980640640 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 1980640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593276560).

1980640640 is an abundant number, since it is smaller than the sum of its proper divisors (3205912480).

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

1980640640 is a wasteful number, since it uses less digits than its factorization.

1980640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 1980640640 is about 44504.3889970416. The cubic root of 1980640640 is about 1255.8426513909.

The spelling of 1980640640 in words is "one billion, nine hundred eighty million, six hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 353 440 640 704 706 797 880 1408 1412 1594 1760 1765 2824 3188 3520 3530 3883 3985 5648 6376 7040 7060 7766 7970 8767 11296 12752 14120 15532 15940 17534 19415 22592 25504 28240 31064 31880 35068 38830 43835 45184 51008 56480 62128 63760 70136 77660 87670 102016 112960 124256 127520 140272 155320 175340 225920 248512 255040 280544 281341 310640 350680 497024 510080 561088 562682 621280 701360 1122176 1125364 1242560 1402720 1406705 2250728 2485120 2805440 2813410 3094751 4501456 5610880 5626820 6189502 9002912 11253640 12379004 15473755 18005824 22507280 24758008 30947510 36011648 45014560 49516016 61895020 90029120 99032032 123790040 180058240 198064064 247580080 396128128 495160160 990320320 1980640640