Search a number
-
+
138235146 = 23719311557
BaseRepresentation
bin10000011110101…
…00110100001010
3100122010001222020
420033110310022
5240342011041
621414505310
73265656630
oct1017246412
9318101866
10138235146
1171037125
123a365236
132283cc5a
1414505350
15c208866
hex83d4d0a

138235146 has 64 divisors (see below), whose sum is σ = 334264320. Its totient is φ = 37229760.

The previous prime is 138235121. The next prime is 138235147. The reversal of 138235146 is 641532831.

It is not an unprimeable number, because it can be changed into a prime (138235147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247900 + ... + 248456.

It is an arithmetic number, because the mean of its divisors is an integer number (5222880).

Almost surely, 2138235146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138235146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167132160).

138235146 is an abundant number, since it is smaller than the sum of its proper divisors (196029174).

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

138235146 is a wasteful number, since it uses less digits than its factorization.

138235146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899.

The product of its digits is 17280, while the sum is 33.

The square root of 138235146 is about 11757.3443430054. The cubic root of 138235146 is about 517.0582736699.

Adding to 138235146 its reverse (641532831), we get a palindrome (779767977).

The spelling of 138235146 in words is "one hundred thirty-eight million, two hundred thirty-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 311 399 557 622 798 933 1114 1671 1866 2177 3342 3899 4354 5909 6531 7798 10583 11697 11818 13062 17727 21166 23394 31749 35454 41363 63498 74081 82726 124089 148162 173227 222243 248178 346454 444486 519681 1039362 1212589 2425178 3291313 3637767 6582626 7275534 9873939 19747878 23039191 46078382 69117573 138235146