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138487000 = 2353791753
BaseRepresentation
bin10000100000100…
…10010011011000
3100122120212110011
420100102103120
5240423041000
621424131304
73301056121
oct1020222330
9318525404
10138487000
1171199373
123a466b34
13228ca792
141456d048
15c2582ba
hex84124d8

138487000 has 64 divisors (see below), whose sum is σ = 328348800. Its totient is φ = 54662400.

The previous prime is 138486973. The next prime is 138487001. The reversal of 138487000 is 784831.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138487001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78124 + ... + 79876.

It is an arithmetic number, because the mean of its divisors is an integer number (5130450).

Almost surely, 2138487000 is an apocalyptic number.

138487000 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 138487000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164174400).

138487000 is an abundant number, since it is smaller than the sum of its proper divisors (189861800).

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

138487000 is a wasteful number, since it uses less digits than its factorization.

138487000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 138487000 is about 11768.0499659034. The cubic root of 138487000 is about 517.3720968728.

The spelling of 138487000 in words is "one hundred thirty-eight million, four hundred eighty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 125 158 200 250 316 395 500 632 790 1000 1580 1753 1975 3160 3506 3950 7012 7900 8765 9875 14024 15800 17530 19750 35060 39500 43825 70120 79000 87650 138487 175300 219125 276974 350600 438250 553948 692435 876500 1107896 1384870 1753000 2769740 3462175 5539480 6924350 13848700 17310875 27697400 34621750 69243500 138487000