Search a number
-
+
138835890 = 23352112437
BaseRepresentation
bin10000100011001…
…11011110110010
3100200020121001000
420101213132302
5241020222030
621435422430
73304041234
oct1021473662
9320217030
10138835890
1171407506
123a5b4a16
13229c051b
1414620254
15c2c6860
hex84677b2

138835890 has 64 divisors (see below), whose sum is σ = 372136320. Its totient is φ = 36832320.

The previous prime is 138835883. The next prime is 138835891. The reversal of 138835890 is 98538831.

138835890 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 (45).

It is not an unprimeable number, because it can be changed into a prime (138835891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55752 + ... + 58188.

It is an arithmetic number, because the mean of its divisors is an integer number (5814630).

Almost surely, 2138835890 is an apocalyptic number.

138835890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138835890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186068160).

138835890 is an abundant number, since it is smaller than the sum of its proper divisors (233300430).

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

138835890 is a wasteful number, since it uses less digits than its factorization.

138835890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 138835890 is about 11782.8642528037. The cubic root of 138835890 is about 517.8062039970.

The spelling of 138835890 in words is "one hundred thirty-eight million, eight hundred thirty-five thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 211 270 422 633 1055 1266 1899 2110 2437 3165 3798 4874 5697 6330 7311 9495 11394 12185 14622 18990 21933 24370 28485 36555 43866 56970 65799 73110 109665 131598 219330 328995 514207 657990 1028414 1542621 2571035 3085242 4627863 5142070 7713105 9255726 13883589 15426210 23139315 27767178 46278630 69417945 138835890