Search a number
-
+
138660984 = 23347211397
BaseRepresentation
bin10000100001111…
…00110001111000
3100122220201010000
420100330301320
5240444122414
621431553000
73302412300
oct1020746170
9318821100
10138660984
11712a8060
123a52b760
132295ba27
14145b6600
15c28eb09
hex843cc78

138660984 has 240 divisors, whose sum is σ = 494101080. Its totient is φ = 35925120.

The previous prime is 138660983. The next prime is 138661007. The reversal of 138660984 is 489066831.

138660984 is a `hidden beast` number, since 1 + 38 + 6 + 609 + 8 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138660983) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 349074 + ... + 349470.

Almost surely, 2138660984 is an apocalyptic number.

138660984 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 138660984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247050540).

138660984 is an abundant number, since it is smaller than the sum of its proper divisors (355440096).

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

138660984 is a wasteful number, since it uses less digits than its factorization.

138660984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 138660984 is about 11775.4398643957. The cubic root of 138660984 is about 517.5886678567.

The spelling of 138660984 in words is "one hundred thirty-eight million, six hundred sixty thousand, nine hundred eighty-four".