Search a number
-
+
138600000 = 263255711
BaseRepresentation
bin10000100001011…
…01111001000000
3100122210121110100
420100231321000
5240440200000
621430402400
73302036430
oct1020557100
9318717410
10138600000
1171266260
123a500400
132293a046
141459c2c0
15c27ba00
hex842de40

138600000 has 504 divisors, whose sum is σ = 619085376. Its totient is φ = 28800000.

The previous prime is 138599987. The next prime is 138600017. The reversal of 138600000 is 6831.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12599995 + ... + 12600005.

It is an arithmetic number, because the mean of its divisors is an integer number (1228344).

Almost surely, 2138600000 is an apocalyptic number.

138600000 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 138600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309542688).

138600000 is an abundant number, since it is smaller than the sum of its proper divisors (480485376).

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

138600000 is an equidigital number, since it uses as much as digits as its factorization.

138600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 138600000 is about 11772.8501222092. The cubic root of 138600000 is about 517.5127771122.

Adding to 138600000 its reverse (6831), we get a palindrome (138606831).

The spelling of 138600000 in words is "one hundred thirty-eight million, six hundred thousand".