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138369360 = 2435576539
BaseRepresentation
bin10000011111101…
…01100101010000
3100122100220002010
420033311211100
5240410304420
621421422520
73300056133
oct1017654520
9318326063
10138369360
1171118a48
123a40aa40
132288907c
141453c21a
15c2334e0
hex83f5950

138369360 has 40 divisors (see below), whose sum is σ = 428945760. Its totient is φ = 36898432.

The previous prime is 138369359. The next prime is 138369367. The reversal of 138369360 is 63963831.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138369367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288030 + ... + 288509.

It is an arithmetic number, because the mean of its divisors is an integer number (10723644).

Almost surely, 2138369360 is an apocalyptic number.

138369360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138369360 is an abundant number, since it is smaller than the sum of its proper divisors (290576400).

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

138369360 is a wasteful number, since it uses less digits than its factorization.

138369360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576555 (or 576549 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 138369360 is about 11763.0506247317. The cubic root of 138369360 is about 517.2255587008.

The spelling of 138369360 in words is "one hundred thirty-eight million, three hundred sixty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 576539 1153078 1729617 2306156 2882695 3459234 4612312 5765390 6918468 8648085 9224624 11530780 13836936 17296170 23061560 27673872 34592340 46123120 69184680 138369360