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2138687700 = 2235220273517
BaseRepresentation
bin111111101111001…
…1100100011010100
312112001022120222120
41333132130203110
513340001001300
6552115255540
7103666355052
oct17736344324
95461276876
102138687700
119a82627a6
124b82aa5b0
132811152a6
1416407b1d2
15c7b5a3a0
hex7f79c8d4

2138687700 has 72 divisors (see below), whose sum is σ = 6192749472. Its totient is φ = 569873280.

The previous prime is 2138687699. The next prime is 2138687717. The reversal of 2138687700 is 77868312.

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 23 ways as a sum of consecutive naturals, for example, 606342 + ... + 609858.

Almost surely, 22138687700 is an apocalyptic number.

2138687700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2138687700 is an abundant number, since it is smaller than the sum of its proper divisors (4054061772).

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

2138687700 is a wasteful number, since it uses less digits than its factorization.

2138687700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5561 (or 5554 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 2138687700 is about 46245.9479306025. The cubic root of 2138687700 is about 1288.3952763954.

The spelling of 2138687700 in words is "two billion, one hundred thirty-eight million, six hundred eighty-seven thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2027 3517 4054 6081 7034 8108 10135 10551 12162 14068 17585 20270 21102 24324 30405 35170 40540 42204 50675 52755 60810 70340 87925 101350 105510 121620 152025 175850 202700 211020 263775 304050 351700 527550 608100 1055100 7128959 14257918 21386877 28515836 35644795 42773754 71289590 85547508 106934385 142579180 178223975 213868770 356447950 427737540 534671925 712895900 1069343850 2138687700