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138167442 = 23272115197
BaseRepresentation
bin10000011110001…
…00010010010010
3100121222122002200
420033010102102
5240332324232
621413224030
73265255350
oct1017042222
9317878080
10138167442
1170aa0276
123a332016
13228181aa
14144c87d0
15c1e377c
hex83c4492

138167442 has 48 divisors (see below), whose sum is σ = 343816512. Its totient is φ = 39281760.

The previous prime is 138167441. The next prime is 138167443. The reversal of 138167442 is 244761831.

It is an interprime number because it is at equal distance from previous prime (138167441) and next prime (138167443).

It is a junction number, because it is equal to n+sod(n) for n = 138167397 and 138167406.

It is not an unprimeable number, because it can be changed into a prime (138167441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23988 + ... + 29184.

It is an arithmetic number, because the mean of its divisors is an integer number (7162844).

Almost surely, 2138167442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138167442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171908256).

138167442 is an abundant number, since it is smaller than the sum of its proper divisors (205649070).

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

138167442 is a wasteful number, since it uses less digits than its factorization.

138167442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5423 (or 5420 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 138167442 is about 11754.4647687591. The cubic root of 138167442 is about 516.9738459608.

The spelling of 138167442 in words is "one hundred thirty-eight million, one hundred sixty-seven thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 211 422 633 1266 1477 1899 2954 3798 4431 5197 8862 10394 13293 15591 26586 31182 36379 46773 72758 93546 109137 218274 327411 654822 1096567 2193134 3289701 6579402 7675969 9869103 15351938 19738206 23027907 46055814 69083721 138167442