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2138377340 = 225112883627
BaseRepresentation
bin111111101110101…
…0000110001111100
312112000201211020202
41333131100301330
513334411033330
6552104503032
7103663623161
oct17735206174
95460654222
102138377340
119a8070600
124b817aa78
13281036c48
14163dda068
15c7ae8445
hex7f750c7c

2138377340 has 36 divisors (see below), whose sum is σ = 4935946008. Its totient is φ = 777590880.

The previous prime is 2138377333. The next prime is 2138377403. The reversal of 2138377340 is 437738312.

It is a junction number, because it is equal to n+sod(n) for n = 2138377294 and 2138377303.

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 11 ways as a sum of consecutive naturals, for example, 439394 + ... + 444233.

Almost surely, 22138377340 is an apocalyptic number.

2138377340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2138377340 is an abundant number, since it is smaller than the sum of its proper divisors (2797568668).

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

2138377340 is a wasteful number, since it uses less digits than its factorization.

2138377340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883658 (or 883645 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 38.

The square root of 2138377340 is about 46242.5922716277. The cubic root of 2138377340 is about 1288.3329506833.

The spelling of 2138377340 in words is "two billion, one hundred thirty-eight million, three hundred seventy-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 883627 1767254 3534508 4418135 8836270 9719897 17672540 19439794 38879588 48599485 97198970 106918867 194397940 213837734 427675468 534594335 1069188670 2138377340