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138345246 = 23813811
BaseRepresentation
bin10000011111011…
…11101100011110
3100122022200000000
420033233230132
5240404021441
621421115130
73266625624
oct1017575436
9318280000
10138345246
1171101916
123a3b8aa6
132287b0c0
1414533514
15c22b2b6
hex83efb1e

138345246 has 72 divisors (see below), whose sum is σ = 335617464. Its totient is φ = 42515280.

The previous prime is 138345241. The next prime is 138345247. The reversal of 138345246 is 642543831.

It is a self number, because there is not a number n which added to its sum of digits gives 138345246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138345241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 170181 + ... + 170991.

Almost surely, 2138345246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138345246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167808732).

138345246 is an abundant number, since it is smaller than the sum of its proper divisors (197272218).

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

138345246 is an frugal number, since it uses more digits than its factorization.

138345246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 829 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 138345246 is about 11762.0255908581. The cubic root of 138345246 is about 517.1955108594.

The spelling of 138345246 in words is "one hundred thirty-eight million, three hundred forty-five thousand, two hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 729 811 1053 1458 1622 2106 2187 2433 3159 4374 4866 6318 6561 7299 9477 10543 13122 14598 18954 21086 21897 28431 31629 43794 56862 63258 65691 85293 94887 131382 170586 189774 197073 284661 394146 569322 591219 853983 1182438 1707966 1773657 2561949 3547314 5123898 5320971 7685847 10641942 15371694 23057541 46115082 69172623 138345246