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2138127140 = 225372889361
BaseRepresentation
bin111111101110001…
…0011101100100100
312112000021010001002
41333130103230210
513334330032030
6552055252432
7103661531552
oct17734235444
95460233032
102138127140
119a7a0a626
124b807a118
13280c7a0b6
14163d72bd2
15c7a99245
hex7f713b24

2138127140 has 24 divisors (see below), whose sum is σ = 4611421752. Its totient is φ = 832135680.

The previous prime is 2138127139. The next prime is 2138127151. The reversal of 2138127140 is 417218312.

It can be written as a sum of positive squares in 4 ways, for example, as 180418624 + 1957708516 = 13432^2 + 44246^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1443941 + ... + 1445420.

It is an arithmetic number, because the mean of its divisors is an integer number (192142573).

Almost surely, 22138127140 is an apocalyptic number.

2138127140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2138127140 is an abundant number, since it is smaller than the sum of its proper divisors (2473294612).

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

2138127140 is a wasteful number, since it uses less digits than its factorization.

2138127140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2889407 (or 2889405 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 2138127140 is about 46239.8868943253. The cubic root of 2138127140 is about 1288.2827017600.

The spelling of 2138127140 in words is "two billion, one hundred thirty-eight million, one hundred twenty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 2889361 5778722 11557444 14446805 28893610 57787220 106906357 213812714 427625428 534531785 1069063570 2138127140