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10270105540 = 2253713878521
BaseRepresentation
bin10011001000010010…
…10101111111000100
3222111202000102021021
421210021111333010
5132013121334130
64415032000524
7512334312442
oct114411257704
928452012237
1010270105540
1143a0230332
121ba7530144
13c7894c336
146d5d93b92
1540196437a
hex264255fc4

10270105540 has 24 divisors (see below), whose sum is σ = 22150121112. Its totient is φ = 3997013760.

The previous prime is 10270105523. The next prime is 10270105561. The reversal of 10270105540 is 4550107201.

It can be written as a sum of positive squares in 4 ways, for example, as 571401216 + 9698704324 = 23904^2 + 98482^2 .

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, 6938521 + ... + 6940000.

It is an arithmetic number, because the mean of its divisors is an integer number (922921713).

Almost surely, 210270105540 is an apocalyptic number.

10270105540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10270105540 is an abundant number, since it is smaller than the sum of its proper divisors (11880015572).

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

10270105540 is a wasteful number, since it uses less digits than its factorization.

10270105540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13878567 (or 13878565 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The spelling of 10270105540 in words is "ten billion, two hundred seventy million, one hundred five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 13878521 27757042 55514084 69392605 138785210 277570420 513505277 1027010554 2054021108 2567526385 5135052770 10270105540