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2064855520 = 255713210909
BaseRepresentation
bin111101100010011…
…0011000111100000
312022220101112021101
41323010303013200
513212100334040
6540521004144
7102111660640
oct17304630740
95286345241
102064855520
1196a614572
12497623654
1326ba34400
1415833c520
15c142409a
hex7b1331e0

2064855520 has 144 divisors (see below), whose sum is σ = 6037506720. Its totient is φ = 653432832.

The previous prime is 2064855517. The next prime is 2064855563. The reversal of 2064855520 is 255584602.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2064855520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183826 + ... + 194734.

It is an arithmetic number, because the mean of its divisors is an integer number (41927130).

Almost surely, 22064855520 is an apocalyptic number.

2064855520 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 2064855520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018753360).

2064855520 is an abundant number, since it is smaller than the sum of its proper divisors (3972651200).

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

2064855520 is a wasteful number, since it uses less digits than its factorization.

2064855520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10957 (or 10936 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

The square root of 2064855520 is about 45440.6813329202. The cubic root of 2064855520 is about 1273.3952426125.

The spelling of 2064855520 in words is "two billion, sixty-four million, eight hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 169 182 208 224 260 280 338 364 416 455 520 560 676 728 845 910 1040 1120 1183 1352 1456 1690 1820 2080 2366 2704 2912 3380 3640 4732 5408 5915 6760 7280 9464 10909 11830 13520 14560 18928 21818 23660 27040 37856 43636 47320 54545 76363 87272 94640 109090 141817 152726 174544 189280 218180 283634 305452 349088 381815 436360 567268 610904 709085 763630 872720 992719 1134536 1221808 1418170 1527260 1745440 1843621 1985438 2269072 2443616 2836340 3054520 3687242 3970876 4538144 4963595 5672680 6109040 7374484 7941752 9218105 9927190 11345360 12218080 12905347 14748968 15883504 18436210 19854380 22690720 25810694 29497936 31767008 36872420 39708760 51621388 58995872 64526735 73744840 79417520 103242776 129053470 147489680 158835040 206485552 258106940 294979360 412971104 516213880 1032427760 2064855520