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138842600 = 23521353401
BaseRepresentation
bin10000100011010…
…01000111101000
3100200020221020112
420101221013220
5241020430400
621435513452
73304066631
oct1021510750
9320227215
10138842600
1171411556
123a5b8888
13229c35b0
1414622888
15c2c8835
hex84691e8

138842600 has 48 divisors (see below), whose sum is σ = 347647020. Its totient is φ = 51264000.

The previous prime is 138842593. The next prime is 138842617. The reversal of 138842600 is 6248831.

It can be written as a sum of positive squares in 6 ways, for example, as 10201636 + 128640964 = 3194^2 + 11342^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24101 + ... + 29300.

Almost surely, 2138842600 is an apocalyptic number.

138842600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138842600 is an abundant number, since it is smaller than the sum of its proper divisors (208804420).

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

138842600 is a wasteful number, since it uses less digits than its factorization.

138842600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53430 (or 53421 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 138842600 is about 11783.1489848852. The cubic root of 138842600 is about 517.8145457969.

The spelling of 138842600 in words is "one hundred thirty-eight million, eight hundred forty-two thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 53401 106802 213604 267005 427208 534010 694213 1068020 1335025 1388426 2136040 2670050 2776852 3471065 5340100 5553704 6942130 10680200 13884260 17355325 27768520 34710650 69421300 138842600