Search a number
-
+
138172104 = 233271947307
BaseRepresentation
bin10000011110001…
…01011011001000
3100121222212111100
420033011123020
5240333001404
621413301400
73265305060
oct1017053310
9317885440
10138172104
1170aa3824
123a334860
132281a355
14144ca3a0
15c1e4d39
hex83c56c8

138172104 has 192 divisors, whose sum is σ = 461260800. Its totient is φ = 36484992.

The previous prime is 138172103. The next prime is 138172121. The reversal of 138172104 is 401271831.

It is not an unprimeable number, because it can be changed into a prime (138172103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 449919 + ... + 450225.

It is an arithmetic number, because the mean of its divisors is an integer number (2402400).

Almost surely, 2138172104 is an apocalyptic number.

138172104 is a gapful number since it is divisible by the number (14) 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 138172104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230630400).

138172104 is an abundant number, since it is smaller than the sum of its proper divisors (323088696).

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

138172104 is a wasteful number, since it uses less digits than its factorization.

138172104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 138172104 is about 11754.6630747121. The cubic root of 138172104 is about 516.9796604155.

The spelling of 138172104 in words is "one hundred thirty-eight million, one hundred seventy-two thousand, one hundred four".