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2120659420 = 2251159199821
BaseRepresentation
bin111111001100110…
…1011000111011100
312110210101122211111
41332121223013130
513320342100140
6550233031404
7103360210345
oct17631530734
95423348744
102120659420
119990698a0
124b2255564
1327a472479
141619070cc
15c62987ea
hex7e66b1dc

2120659420 has 96 divisors (see below), whose sum is σ = 4971456000. Its totient is φ = 753350400.

The previous prime is 2120659399. The next prime is 2120659433. The reversal of 2120659420 is 249560212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2582610 + ... + 2583430.

It is an arithmetic number, because the mean of its divisors is an integer number (51786000).

Almost surely, 22120659420 is an apocalyptic number.

2120659420 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 2120659420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485728000).

2120659420 is an abundant number, since it is smaller than the sum of its proper divisors (2850796580).

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

2120659420 is a wasteful number, since it uses less digits than its factorization.

2120659420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 2120659420 is about 46050.6180197400. The cubic root of 2120659420 is about 1284.7648375855.

The spelling of 2120659420 in words is "two billion, one hundred twenty million, six hundred fifty-nine thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 199 220 236 295 398 590 649 796 821 995 1180 1298 1642 1990 2189 2596 3245 3284 3980 4105 4378 6490 8210 8756 9031 10945 11741 12980 16420 18062 21890 23482 36124 43780 45155 46964 48439 58705 90310 96878 117410 129151 163379 180620 193756 234820 242195 258302 326758 484390 516604 532829 645755 653516 816895 968780 1065658 1291510 1633790 1797169 2131316 2583020 2664145 3267580 3594338 5328290 7188676 8985845 9639361 10656580 17971690 19278722 35943380 38557444 48196805 96393610 106032971 192787220 212065942 424131884 530164855 1060329710 2120659420