Search a number
-
+
138470472 = 23347489
BaseRepresentation
bin10000100000011…
…10010001001000
3100122120000210000
420100032101020
5240422023342
621423523000
73300660000
oct1020162110
9318500700
10138470472
1171187a08
123a459460
13228c30ba
1414567000
15c25344c
hex840e448

138470472 has 200 divisors, whose sum is σ = 457543350. Its totient is φ = 39118464.

The previous prime is 138470471. The next prime is 138470509. The reversal of 138470472 is 274074831.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 131469156 + 7001316 = 11466^2 + 2646^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (138470471) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 1555804 + ... + 1555892.

Almost surely, 2138470472 is an apocalyptic number.

138470472 is a gapful number since it is divisible by the number (12) 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 138470472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228771675).

138470472 is an abundant number, since it is smaller than the sum of its proper divisors (319072878).

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

138470472 is an frugal number, since it uses more digits than its factorization.

138470472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 138470472 is about 11767.3477045594. The cubic root of 138470472 is about 517.3515137947.

The spelling of 138470472 in words is "one hundred thirty-eight million, four hundred seventy thousand, four hundred seventy-two".