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2139833010 = 2357171931547
BaseRepresentation
bin111111110001011…
…0100001010110010
312112010110210001110
41333202310022302
513340244124020
6552200014150
7104012165130
oct17742641262
95463423043
102139833010
119a8975237
124b8761356
132814266a3
14164298750
15c7cd48e0
hex7f8b42b2

2139833010 has 128 divisors (see below), whose sum is σ = 6541793280. Its totient is φ = 436091904.

The previous prime is 2139832999. The next prime is 2139833011. The reversal of 2139833010 is 103389312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2139833011) 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 63 ways as a sum of consecutive naturals, for example, 52057 + ... + 83603.

It is an arithmetic number, because the mean of its divisors is an integer number (51107760).

Almost surely, 22139833010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2139833010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270896640).

2139833010 is an abundant number, since it is smaller than the sum of its proper divisors (4401960270).

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

2139833010 is a wasteful number, since it uses less digits than its factorization.

2139833010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31600.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 2139833010 is about 46258.3290878518. The cubic root of 2139833010 is about 1288.6252224921.

The spelling of 2139833010 in words is "two billion, one hundred thirty-nine million, eight hundred thirty-three thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 17 19 21 30 34 35 38 42 51 57 70 85 95 102 105 114 119 133 170 190 210 238 255 266 285 323 357 399 510 570 595 646 665 714 798 969 1190 1330 1615 1785 1938 1995 2261 3230 3570 3990 4522 4845 6783 9690 11305 13566 22610 31547 33915 63094 67830 94641 157735 189282 220829 315470 441658 473205 536299 599393 662487 946410 1072598 1104145 1198786 1324974 1608897 1798179 2208290 2681495 2996965 3217794 3312435 3596358 3754093 4195751 5362990 5993930 6624870 7508186 8044485 8391502 8990895 10189681 11262279 12587253 16088970 17981790 18770465 20379362 20978755 22524558 25174506 30569043 37540930 41957510 50948405 56311395 61138086 62936265 71327767 101896810 112622790 125872530 142655534 152845215 213983301 305690430 356638835 427966602 713277670 1069916505 2139833010