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138979440 = 2432543672
BaseRepresentation
bin10000100100010…
…10100001110000
3100200111212221200
420102022201300
5241034320230
621442451200
73305206605
oct1022124160
9320455850
10138979440
11714a5346
123a663b00
1322a40972
141465a6ac
15c304160
hex848a870

138979440 has 180 divisors, whose sum is σ = 484828344. Its totient is φ = 35659008.

The previous prime is 138979439. The next prime is 138979441. The reversal of 138979440 is 44979831.

138979440 is a `hidden beast` number, since 138 + 9 + 79 + 440 = 666.

138979440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (138979439) and next prime (138979441).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138979441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2074287 + ... + 2074353.

Almost surely, 2138979440 is an apocalyptic number.

138979440 is a gapful number since it is divisible by the number (10) 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 138979440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242414172).

138979440 is an abundant number, since it is smaller than the sum of its proper divisors (345848904).

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

138979440 is a wasteful number, since it uses less digits than its factorization.

138979440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 138979440 is about 11788.9541520866. The cubic root of 138979440 is about 517.9846052182.

The spelling of 138979440 in words is "one hundred thirty-eight million, nine hundred seventy-nine thousand, four hundred forty".