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138326412 = 223744801
BaseRepresentation
bin10000011111010…
…11000110001100
3100122021201011110
420033223012030
5240402421122
621420452020
73266520000
oct1017530614
9318251143
10138326412
1171099754
123a3aa010
1322872663
141452a700
15c22590c
hex83eb18c

138326412 has 60 divisors (see below), whose sum is σ = 376611256. Its totient is φ = 39513600.

The previous prime is 138326411. The next prime is 138326413. The reversal of 138326412 is 214623831.

It is an interprime number because it is at equal distance from previous prime (138326411) and next prime (138326413).

It is a self number, because there is not a number n which added to its sum of digits gives 138326412.

It is not an unprimeable number, because it can be changed into a prime (138326411) 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 19 ways as a sum of consecutive naturals, for example, 26412 + ... + 31212.

Almost surely, 2138326412 is an apocalyptic number.

138326412 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 138326412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188305628).

138326412 is an abundant number, since it is smaller than the sum of its proper divisors (238284844).

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

138326412 is an equidigital number, since it uses as much as digits as its factorization.

138326412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4836 (or 4813 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 138326412 is about 11761.2249362046. The cubic root of 138326412 is about 517.1720398630.

The spelling of 138326412 in words is "one hundred thirty-eight million, three hundred twenty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 2401 4116 4801 4802 7203 9602 9604 14403 14406 19204 28806 28812 33607 57612 67214 100821 134428 201642 235249 403284 470498 705747 940996 1411494 1646743 2822988 3293486 4940229 6586972 9880458 11527201 19760916 23054402 34581603 46108804 69163206 138326412