Search a number
-
+
138237030 = 23451710039
BaseRepresentation
bin10000011110101…
…01010001100110
3100122010011120000
420033111101212
5240342041110
621414522130
73265665261
oct1017252146
9318104500
10138237030
1171038588
123a366346
1322840a79
1414505cd8
15c2091c0
hex83d5466

138237030 has 80 divisors (see below), whose sum is σ = 393608160. Its totient is φ = 34691328.

The previous prime is 138237023. The next prime is 138237037. The reversal of 138237030 is 30732831.

It is an interprime number because it is at equal distance from previous prime (138237023) and next prime (138237037).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 138236985 and 138237003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138237037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8751 + ... + 18789.

It is an arithmetic number, because the mean of its divisors is an integer number (4920102).

Almost surely, 2138237030 is an apocalyptic number.

138237030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138237030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196804080).

138237030 is an abundant number, since it is smaller than the sum of its proper divisors (255371130).

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

138237030 is a wasteful number, since it uses less digits than its factorization.

138237030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10075 (or 10066 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 138237030 is about 11757.4244628660. The cubic root of 138237030 is about 517.0606226465.

Adding to 138237030 its reverse (30732831), we get a palindrome (168969861).

The spelling of 138237030 in words is "one hundred thirty-eight million, two hundred thirty-seven thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 765 810 918 1377 1530 2295 2754 4590 6885 10039 13770 20078 30117 50195 60234 90351 100390 150585 170663 180702 271053 301170 341326 451755 511989 542106 813159 853315 903510 1023978 1355265 1535967 1626318 1706630 2559945 2710530 3071934 4065795 4607901 5119890 7679835 8131590 9215802 13823703 15359670 23039505 27647406 46079010 69118515 138237030