Search a number
-
+
138561000 = 2335346187
BaseRepresentation
bin10000100001001…
…00010111101000
3100122201121221220
420100210113220
5240432423000
621425502040
73301514634
oct1020442750
9318647856
10138561000
1171239a26
123a4a1920
1322925376
141458bdc4
15c2701a0
hex84245e8

138561000 has 64 divisors (see below), whose sum is σ = 432319680. Its totient is φ = 36948800.

The previous prime is 138560953. The next prime is 138561001. The reversal of 138561000 is 165831.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (138561001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20094 + ... + 26093.

It is an arithmetic number, because the mean of its divisors is an integer number (6754995).

Almost surely, 2138561000 is an apocalyptic number.

138561000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138561000 is an abundant number, since it is smaller than the sum of its proper divisors (293758680).

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

138561000 is a wasteful number, since it uses less digits than its factorization.

138561000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46211 (or 46197 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 138561000 is about 11771.1936523022. The cubic root of 138561000 is about 517.4642323992.

The spelling of 138561000 in words is "one hundred thirty-eight million, five hundred sixty-one 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 46187 92374 138561 184748 230935 277122 369496 461870 554244 692805 923740 1108488 1154675 1385610 1847480 2309350 2771220 3464025 4618700 5542440 5773375 6928050 9237400 11546750 13856100 17320125 23093500 27712200 34640250 46187000 69280500 138561000