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3900138900 = 2235271857209
BaseRepresentation
bin1110100001110111…
…0110010110010100
3101001210210120202220
43220131312112110
530441413421100
61443001302340
7165435430230
oct35035662624
911053716686
103900138900
111721588099
1290a1949b0
134a20291c8
1428dd9b5c0
1517c5ebaa0
hexe8776594

3900138900 has 72 divisors (see below), whose sum is σ = 12896466240. Its totient is φ = 891459840.

The previous prime is 3900138887. The next prime is 3900138917. The reversal of 3900138900 is 98310093.

It is a super-2 number, since 2×39001389002 = 30422166878586420000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 926505 + ... + 930704.

Almost surely, 23900138900 is an apocalyptic number.

3900138900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3900138900 is an abundant number, since it is smaller than the sum of its proper divisors (8996327340).

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

3900138900 is a wasteful number, since it uses less digits than its factorization.

3900138900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857233 (or 1857226 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 3900138900 is about 62451.0920641105. The cubic root of 3900138900 is about 1574.0796033379.

Adding to 3900138900 its reverse (98310093), we get a palindrome (3998448993).

The spelling of 3900138900 in words is "three billion, nine hundred million, one hundred thirty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 1857209 3714418 5571627 7428836 9286045 11143254 13000463 18572090 22286508 26000926 27858135 37144180 39001389 46430225 52001852 55716270 65002315 78002778 92860450 111432540 130004630 139290675 156005556 185720900 195006945 260009260 278581350 325011575 390013890 557162700 650023150 780027780 975034725 1300046300 1950069450 3900138900