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138170448 = 24341359139
BaseRepresentation
bin10000011110001…
…01000001010000
3100121222210020000
420033011001100
5240332423243
621413250000
73265300203
oct1017050120
9317883200
10138170448
1170aa2559
123a333900
1322819680
14144c993a
15c1e45d3
hex83c5050

138170448 has 200 divisors, whose sum is σ = 441117600. Its totient is φ = 41492736.

The previous prime is 138170423. The next prime is 138170449. The reversal of 138170448 is 844071831.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138170449) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 993963 + ... + 994101.

It is an arithmetic number, because the mean of its divisors is an integer number (2205588).

Almost surely, 2138170448 is an apocalyptic number.

138170448 is a gapful number since it is divisible by the number (18) 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 138170448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220558800).

138170448 is an abundant number, since it is smaller than the sum of its proper divisors (302947152).

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

138170448 is a wasteful number, since it uses less digits than its factorization.

138170448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 138170448 is about 11754.5926343706. The cubic root of 138170448 is about 516.9775950643.

The spelling of 138170448 in words is "one hundred thirty-eight million, one hundred seventy thousand, four hundred forty-eight".