Search a number
-
+
138450300 = 223523712473
BaseRepresentation
bin10000100000010…
…01010101111100
3100122112000002220
420100021111330
5240420402200
621423245340
73300544122
oct1020112574
9318460086
10138450300
117117383a
123a449850
13228b6b71
141455d912
15c24c4a0
hex840957c

138450300 has 72 divisors (see below), whose sum is σ = 411442416. Its totient is φ = 35919360.

The previous prime is 138450289. The next prime is 138450307. The reversal of 138450300 is 3054831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138450307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4864 + ... + 17336.

It is an arithmetic number, because the mean of its divisors is an integer number (5714478).

Almost surely, 2138450300 is an apocalyptic number.

138450300 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 138450300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205721208).

138450300 is an abundant number, since it is smaller than the sum of its proper divisors (272992116).

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

138450300 is a wasteful number, since it uses less digits than its factorization.

138450300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12527 (or 12520 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 138450300 is about 11766.4905558114. The cubic root of 138450300 is about 517.3263904564.

The spelling of 138450300 in words is "one hundred thirty-eight million, four hundred fifty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 12473 24946 37419 49892 62365 74838 124730 149676 187095 249460 311825 374190 461501 623650 748380 923002 935475 1247300 1384503 1846004 1870950 2307505 2769006 3741900 4615010 5538012 6922515 9230020 11537525 13845030 23075050 27690060 34612575 46150100 69225150 138450300