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2138078060 = 225316156533
BaseRepresentation
bin111111101110000…
…0111101101101100
312112000011121201022
41333130013231230
513334321444220
6552054233312
7103661235506
oct17734075554
95460147638
102138078060
119a7986768
124b8055838
13280c60961
14163d5cd76
15c7a89925
hex7f707b6c

2138078060 has 48 divisors (see below), whose sum is σ = 4710865152. Its totient is φ = 814060800.

The previous prime is 2138078057. The next prime is 2138078069. The reversal of 2138078060 is 608708312.

It is a self number, because there is not a number n which added to its sum of digits gives 2138078060.

It is not an unprimeable number, because it can be changed into a prime (2138078069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9554 + ... + 66086.

It is an arithmetic number, because the mean of its divisors is an integer number (98143024).

Almost surely, 22138078060 is an apocalyptic number.

2138078060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138078060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355432576).

2138078060 is an abundant number, since it is smaller than the sum of its proper divisors (2572787092).

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

2138078060 is a wasteful number, since it uses less digits than its factorization.

2138078060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56634 (or 56632 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 2138078060 is about 46239.3561806390. The cubic root of 2138078060 is about 1288.2728443170.

The spelling of 2138078060 in words is "two billion, one hundred thirty-eight million, seventy-eight thousand, sixty".

Divisors: 1 2 4 5 10 20 31 61 62 122 124 155 244 305 310 610 620 1220 1891 3782 7564 9455 18910 37820 56533 113066 226132 282665 565330 1130660 1752523 3448513 3505046 6897026 7010092 8762615 13794052 17242565 17525230 34485130 35050460 68970260 106903903 213807806 427615612 534519515 1069039030 2138078060