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2139375360 = 28352324223
BaseRepresentation
bin111111110000100…
…0100011100000000
312112002121112021110
41333201010130000
513340140002420
6552142123320
7104005250643
oct17741043400
95462545243
102139375360
119a8692411
124b8580540
132812c62a5
141641b9a5a
15c7c43ee0
hex7f844700

2139375360 has 144 divisors (see below), whose sum is σ = 7129995264. Its totient is φ = 545673216.

The previous prime is 2139375349. The next prime is 2139375361. The reversal of 2139375360 is 635739312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2139375361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76209 + ... + 100431.

It is an arithmetic number, because the mean of its divisors is an integer number (49513856).

Almost surely, 22139375360 is an apocalyptic number.

2139375360 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 2139375360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564997632).

2139375360 is an abundant number, since it is smaller than the sum of its proper divisors (4990619904).

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

2139375360 is a wasteful number, since it uses less digits than its factorization.

2139375360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24270 (or 24256 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 39.

The square root of 2139375360 is about 46253.3821466063. The cubic root of 2139375360 is about 1288.5333490642.

The spelling of 2139375360 in words is "two billion, one hundred thirty-nine million, three hundred seventy-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 256 276 320 345 368 384 460 480 552 640 690 736 768 920 960 1104 1280 1380 1472 1840 1920 2208 2760 2944 3680 3840 4416 5520 5888 7360 8832 11040 14720 17664 22080 24223 29440 44160 48446 72669 88320 96892 121115 145338 193784 242230 290676 363345 387568 484460 557129 581352 726690 775136 968920 1114258 1162704 1453380 1550272 1671387 1937840 2228516 2325408 2785645 2906760 3100544 3342774 3875680 4457032 4650816 5571290 5813520 6201088 6685548 7751360 8356935 8914064 9301632 11142580 11627040 13371096 15502720 16713870 17828128 18603264 22285160 23254080 26742192 31005440 33427740 35656256 44570320 46508160 53484384 66855480 71312512 89140640 93016320 106968768 133710960 142625024 178281280 213937536 267421920 356562560 427875072 534843840 713125120 1069687680 2139375360