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138399000 = 2335346133
BaseRepresentation
bin10000011111111…
…00110100011000
3100122102101201220
420033330310120
5240412232000
621422212040
73300241425
oct1017746430
9318371656
10138399000
1171139243
123a424020
13228996cc
1414548d4c
15c23c1a0
hex83fcd18

138399000 has 64 divisors (see below), whose sum is σ = 431814240. Its totient is φ = 36905600.

The previous prime is 138398999. The next prime is 138399013. The reversal of 138399000 is 993831.

138399000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20067 + ... + 26066.

Almost surely, 2138399000 is an apocalyptic number.

138399000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138399000 is an abundant number, since it is smaller than the sum of its proper divisors (293415240).

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

138399000 is a wasteful number, since it uses less digits than its factorization.

138399000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46157 (or 46143 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 138399000 is about 11764.3104345304. The cubic root of 138399000 is about 517.2624875677.

The spelling of 138399000 in words is "one hundred thirty-eight million, three hundred ninety-nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 46133 92266 138399 184532 230665 276798 369064 461330 553596 691995 922660 1107192 1153325 1383990 1845320 2306650 2767980 3459975 4613300 5535960 5766625 6919950 9226600 11533250 13839900 17299875 23066500 27679800 34599750 46133000 69199500 138399000