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138163900 = 22527316367
BaseRepresentation
bin10000011110000…
…11011010111100
3100121222110020111
420033003122330
5240332221100
621413155404
73265242130
oct1017033274
9317873214
10138163900
1170a98646
123a32bb64
13228166b4
14144c73c0
15c1e26ba
hex83c36bc

138163900 has 72 divisors (see below), whose sum is σ = 353755136. Its totient is φ = 45835200.

The previous prime is 138163889. The next prime is 138163933. The reversal of 138163900 is 9361831.

138163900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18517 + ... + 24883.

Almost surely, 2138163900 is an apocalyptic number.

138163900 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 138163900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176877568).

138163900 is an abundant number, since it is smaller than the sum of its proper divisors (215591236).

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

138163900 is a wasteful number, since it uses less digits than its factorization.

138163900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6419 (or 6412 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 138163900 is about 11754.3141016394. The cubic root of 138163900 is about 516.9694282848.

The spelling of 138163900 in words is "one hundred thirty-eight million, one hundred sixty-three thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 124 140 155 175 217 310 350 434 620 700 775 868 1085 1550 2170 3100 4340 5425 6367 10850 12734 21700 25468 31835 44569 63670 89138 127340 159175 178276 197377 222845 318350 394754 445690 636700 789508 891380 986885 1114225 1381639 1973770 2228450 2763278 3947540 4456900 4934425 5526556 6908195 9868850 13816390 19737700 27632780 34540975 69081950 138163900