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138662500 = 225511093
BaseRepresentation
bin10000100001111…
…01001001100100
3100122220210012011
420100331021210
5240444200000
621432004004
73302416564
oct1020751144
9318823164
10138662500
11712a9209
123a530604
132295c622
14145b6da4
15c2902ba
hex843d264

138662500 has 36 divisors (see below), whose sum is σ = 303332148. Its totient is φ = 55460000.

The previous prime is 138662431. The next prime is 138662501. The reversal of 138662500 is 5266831.

138662500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 92775424 + 45887076 = 9632^2 + 6774^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138662501) by changing a digit.

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, 6954 + ... + 18046.

It is an arithmetic number, because the mean of its divisors is an integer number (8425893).

Almost surely, 2138662500 is an apocalyptic number.

138662500 is a gapful number since it is divisible by the number (10) 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 138662500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151666074).

138662500 is an abundant number, since it is smaller than the sum of its proper divisors (164669648).

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

138662500 is an equidigital number, since it uses as much as digits as its factorization.

138662500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11122 (or 11100 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 138662500 is about 11775.5042354882. The cubic root of 138662500 is about 517.5905541396.

The spelling of 138662500 in words is "one hundred thirty-eight million, six hundred sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 3125 6250 11093 12500 22186 44372 55465 110930 221860 277325 554650 1109300 1386625 2773250 5546500 6933125 13866250 27732500 34665625 69331250 138662500