Search a number
-
+
138428312 = 23119716217
BaseRepresentation
bin10000100000000…
…11111110011000
3100122110212221112
420100003332120
5240414201222
621422555452
73300423041
oct1020037630
9318425845
10138428312
1171159270
123a438b88
13228a9b59
14145558c8
15c245be2
hex8403f98

138428312 has 32 divisors (see below), whose sum is σ = 286085520. Its totient is φ = 62269440.

The previous prime is 138428249. The next prime is 138428317. The reversal of 138428312 is 213824831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138428317) 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 7 ways as a sum of consecutive naturals, for example, 428 + ... + 16644.

Almost surely, 2138428312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138428312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143042760).

138428312 is an abundant number, since it is smaller than the sum of its proper divisors (147657208).

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

138428312 is a wasteful number, since it uses less digits than its factorization.

138428312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16331 (or 16327 counting only the distinct ones).

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

The square root of 138428312 is about 11765.5561704494. The cubic root of 138428312 is about 517.2990025901.

The spelling of 138428312 in words is "one hundred thirty-eight million, four hundred twenty-eight thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 97 194 388 776 1067 2134 4268 8536 16217 32434 64868 129736 178387 356774 713548 1427096 1573049 3146098 6292196 12584392 17303539 34607078 69214156 138428312