Search a number
-
+
138637730 = 25711401449
BaseRepresentation
bin10000100001101…
…11000110100010
3100122212112012202
420100313012202
5240442401410
621431253202
73302254430
oct1020670642
9318775182
10138637730
1171291640
123a51a202
132295127a
14145abd50
15c287ca5
hex84371a2

138637730 has 64 divisors (see below), whose sum is σ = 312595200. Its totient is φ = 43008000.

The previous prime is 138637729. The next prime is 138637739. The reversal of 138637730 is 37736831.

It is a happy number.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (138637739) 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 31 ways as a sum of consecutive naturals, for example, 308546 + ... + 308994.

It is an arithmetic number, because the mean of its divisors is an integer number (4884300).

Almost surely, 2138637730 is an apocalyptic number.

138637730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138637730 is an abundant number, since it is smaller than the sum of its proper divisors (173957470).

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

138637730 is a wasteful number, since it uses less digits than its factorization.

138637730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875.

The product of its (nonzero) digits is 63504, while the sum is 38.

The square root of 138637730 is about 11774.4524288818. The cubic root of 138637730 is about 517.5597323445.

The spelling of 138637730 in words is "one hundred thirty-eight million, six hundred thirty-seven thousand, seven hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 154 385 401 449 770 802 898 2005 2245 2807 3143 4010 4411 4490 4939 5614 6286 8822 9878 14035 15715 22055 24695 28070 30877 31430 34573 44110 49390 61754 69146 154385 172865 180049 308770 345730 360098 900245 1260343 1800490 1980539 2520686 3961078 6301715 9902695 12603430 13863773 19805390 27727546 69318865 138637730