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5920541820 = 22325311497121
BaseRepresentation
bin1011000001110010…
…00100110001111100
3120021121112200112200
411200321010301330
544111124314240
62415253431500
7266500526604
oct54071046174
916247480480
105920541820
112568a9a776
12119293b590
137347981ab
14402447c04
15249b8e930
hex160e44c7c

5920541820 has 144 divisors (see below), whose sum is σ = 18665337600. Its totient is φ = 1517414400.

The previous prime is 5920541813. The next prime is 5920541821. The reversal of 5920541820 is 281450295.

5920541820 is a `hidden beast` number, since 5 + 92 + 0 + 541 + 8 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5920541821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 827860 + ... + 834980.

It is an arithmetic number, because the mean of its divisors is an integer number (129620400).

Almost surely, 25920541820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5920541820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9332668800).

5920541820 is an abundant number, since it is smaller than the sum of its proper divisors (12744795780).

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

5920541820 is a wasteful number, since it uses less digits than its factorization.

5920541820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7316 (or 7311 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5920541820 is about 76945.0571511907. The cubic root of 5920541820 is about 1809.0635266330.

It can be divided in two parts, 59205 and 41820, that added together give a triangular number (101025 = T449).

The spelling of 5920541820 in words is "five billion, nine hundred twenty million, five hundred forty-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 149 155 180 186 279 298 310 372 447 465 558 596 620 745 894 930 1116 1341 1395 1490 1788 1860 2235 2682 2790 2980 4470 4619 5364 5580 6705 7121 8940 9238 13410 13857 14242 18476 21363 23095 26820 27714 28484 35605 41571 42726 46190 55428 64089 69285 71210 83142 85452 92380 106815 128178 138570 142420 166284 207855 213630 220751 256356 277140 320445 415710 427260 441502 640890 662253 831420 883004 1061029 1103755 1281780 1324506 1986759 2122058 2207510 2649012 3183087 3311265 3973518 4244116 4415020 5305145 6366174 6622530 7947036 9549261 9933795 10610290 12732348 13245060 15915435 19098522 19867590 21220580 31830870 32891899 38197044 39735180 47746305 63661740 65783798 95492610 98675697 131567596 164459495 190985220 197351394 296027091 328918990 394702788 493378485 592054182 657837980 986756970 1184108364 1480135455 1973513940 2960270910 5920541820