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20709092440 = 235311071271229
BaseRepresentation
bin10011010010010110…
…111010110001011000
31222110020210220012201
4103102112322301120
5314403011424230
613302535415544
71332122244541
oct232226726130
958406726181
1020709092440
118867819733
12401b5245b4
131c5057b76a
1410065494c8
158131375ca
hex4d25bac58

20709092440 has 128 divisors (see below), whose sum is σ = 48970137600. Its totient is φ = 7872560640.

The previous prime is 20709092387. The next prime is 20709092449. The reversal of 20709092440 is 4429090702.

It is a self number, because there is not a number n which added to its sum of digits gives 20709092440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20709092449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16849746 + ... + 16850974.

It is an arithmetic number, because the mean of its divisors is an integer number (382579200).

Almost surely, 220709092440 is an apocalyptic number.

20709092440 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 20709092440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24485068800).

20709092440 is an abundant number, since it is smaller than the sum of its proper divisors (28261045160).

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

20709092440 is a wasteful number, since it uses less digits than its factorization.

20709092440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 20709092440 in words is "twenty billion, seven hundred nine million, ninety-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 107 124 127 155 214 248 254 310 428 508 535 620 635 856 1016 1070 1229 1240 1270 2140 2458 2540 3317 3937 4280 4916 5080 6145 6634 7874 9832 12290 13268 13589 15748 16585 19685 24580 26536 27178 31496 33170 38099 39370 49160 54356 66340 67945 76198 78740 108712 131503 132680 135890 152396 156083 157480 190495 263006 271780 304792 312166 380990 421259 526012 543560 624332 657515 761980 780415 842518 1052024 1248664 1315030 1523960 1560830 1685036 2106295 2630060 3121660 3370072 4076593 4212590 4838573 5260120 6243320 8153186 8425180 9677146 16306372 16700881 16850360 19354292 20382965 24192865 32612744 33401762 38708584 40765930 48385730 66803524 81531860 83504405 96771460 133607048 163063720 167008810 193542920 334017620 517727311 668035240 1035454622 2070909244 2588636555 4141818488 5177273110 10354546220 20709092440