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2138301920 = 25513364387
BaseRepresentation
bin111111101110011…
…1110010111100000
312112000120222210102
41333130332113200
513334401130140
6552103121532
7103663160246
oct17734762740
95460528712
102138301920
119a8019977
124b81432a8
1328100b811
14163dba796
15c7ad0e15
hex7f73e5e0

2138301920 has 24 divisors (see below), whose sum is σ = 5051738664. Its totient is φ = 855320704.

The previous prime is 2138301917. The next prime is 2138301929. The reversal of 2138301920 is 291038312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138301929) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6682034 + ... + 6682353.

It is an arithmetic number, because the mean of its divisors is an integer number (210489111).

Almost surely, 22138301920 is an apocalyptic number.

2138301920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2138301920 is an abundant number, since it is smaller than the sum of its proper divisors (2913436744).

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

2138301920 is a wasteful number, since it uses less digits than its factorization.

2138301920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13364402 (or 13364394 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 2138301920 is about 46241.7767824724. The cubic root of 2138301920 is about 1288.3178041184.

The spelling of 2138301920 in words is "two billion, one hundred thirty-eight million, three hundred one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 13364387 26728774 53457548 66821935 106915096 133643870 213830192 267287740 427660384 534575480 1069150960 2138301920