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138159400 = 23523312087
BaseRepresentation
bin10000011110000…
…10010100101000
3100121222020001211
420033002110220
5240332100100
621413122504
73265223041
oct1017022450
9317866054
10138159400
1170a95225
123a329434
1322814632
14144c58c8
15c1e11ba
hex83c2528

138159400 has 48 divisors (see below), whose sum is σ = 322345440. Its totient is φ = 55070400.

The previous prime is 138159377. The next prime is 138159403. The reversal of 138159400 is 4951831.

138159400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1381594003 (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (138159403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65157 + ... + 67243.

It is an arithmetic number, because the mean of its divisors is an integer number (6715530).

Almost surely, 2138159400 is an apocalyptic number.

138159400 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 138159400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161172720).

138159400 is an abundant number, since it is smaller than the sum of its proper divisors (184186040).

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

138159400 is a wasteful number, since it uses less digits than its factorization.

138159400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 138159400 is about 11754.1226810001. The cubic root of 138159400 is about 516.9638156569.

The spelling of 138159400 in words is "one hundred thirty-eight million, one hundred fifty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 331 662 1324 1655 2087 2648 3310 4174 6620 8275 8348 10435 13240 16550 16696 20870 33100 41740 52175 66200 83480 104350 208700 417400 690797 1381594 2763188 3453985 5526376 6907970 13815940 17269925 27631880 34539850 69079700 138159400