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138198200 = 2352798713
BaseRepresentation
bin10000011110010…
…11110010111000
3100122001012021212
420033023302320
5240334320300
621414022252
73265444130
oct1017136270
9318035255
10138198200
1171011398
123a347988
13228291aa
14144d5ac0
15c1ec935
hex83cbcb8

138198200 has 48 divisors (see below), whose sum is σ = 367216080. Its totient is φ = 47381760.

The previous prime is 138198187. The next prime is 138198211. The reversal of 138198200 is 2891831.

138198200 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 11 ways as a sum of consecutive naturals, for example, 47957 + ... + 50756.

It is an arithmetic number, because the mean of its divisors is an integer number (7650335).

Almost surely, 2138198200 is an apocalyptic number.

138198200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138198200 is an abundant number, since it is smaller than the sum of its proper divisors (229017880).

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

138198200 is a wasteful number, since it uses less digits than its factorization.

138198200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98736 (or 98727 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 138198200 is about 11755.7730498679. The cubic root of 138198200 is about 517.0122049778.

The spelling of 138198200 in words is "one hundred thirty-eight million, one hundred ninety-eight thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 98713 197426 394852 493565 690991 789704 987130 1381982 1974260 2467825 2763964 3454955 3948520 4935650 5527928 6909910 9871300 13819820 17274775 19742600 27639640 34549550 69099100 138198200