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2138005940 = 225723663977
BaseRepresentation
bin111111101101111…
…0110000110110100
312112000000221210012
41333123312012310
513334312142230
6552052515352
7103660515320
oct17733660664
95460027705
102138005940
119a7937564
124b801bb58
13280c36b95
14163d40980
15c7a73395
hex7f6f61b4

2138005940 has 48 divisors (see below), whose sum is σ = 5354318592. Its totient is φ = 701158656.

The previous prime is 2138005939. The next prime is 2138005973. The reversal of 2138005940 is 495008312.

It is a junction number, because it is equal to n+sod(n) for n = 2138005897 and 2138005906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328769 + ... + 335208.

It is an arithmetic number, because the mean of its divisors is an integer number (111548304).

Almost surely, 22138005940 is an apocalyptic number.

2138005940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2138005940 is an abundant number, since it is smaller than the sum of its proper divisors (3216312652).

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

2138005940 is a wasteful number, since it uses less digits than its factorization.

2138005940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664016 (or 664014 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 2138005940 is about 46238.5763189136. The cubic root of 2138005940 is about 1288.2583591455.

The spelling of 2138005940 in words is "two billion, one hundred thirty-eight million, five thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 663977 1327954 2655908 3319885 4647839 6639770 9295678 13279540 15271471 18591356 23239195 30542942 46478390 61085884 76357355 92956780 106900297 152714710 213800594 305429420 427601188 534501485 1069002970 2138005940