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138582760 = 2353793637
BaseRepresentation
bin10000100001010…
…01101011101000
3100122202201210211
420100221223220
5240434122020
621430150504
73301635241
oct1020515350
9318681724
10138582760
1171254308
123a4b2434
1322932244
1414595cc8
15c27685a
hex8429ae8

138582760 has 32 divisors (see below), whose sum is σ = 320241960. Its totient is φ = 53934336.

The previous prime is 138582739. The next prime is 138582767. The reversal of 138582760 is 67285831.

It can be written as a sum of positive squares in 4 ways, for example, as 135349956 + 3232804 = 11634^2 + 1798^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (138582767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45339 + ... + 48298.

Almost surely, 2138582760 is an apocalyptic number.

138582760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138582760 is an abundant number, since it is smaller than the sum of its proper divisors (181659200).

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

138582760 is a wasteful number, since it uses less digits than its factorization.

138582760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93685 (or 93681 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 138582760 is about 11772.1179063073. The cubic root of 138582760 is about 517.4913189828.

The spelling of 138582760 in words is "one hundred thirty-eight million, five hundred eighty-two thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 93637 187274 374548 468185 749096 936370 1872740 3464569 3745480 6929138 13858276 17322845 27716552 34645690 69291380 138582760