Search a number
-
+
137729746 = 271119103457
BaseRepresentation
bin10000011010110…
…01011011010010
3100121011101200201
420031121123102
5240224322441
621400005414
73261453310
oct1015313322
9317141621
10137729746
1170821440
123a16086a
13226c3bbb
14144130b0
15c158c31
hex83596d2

137729746 has 64 divisors (see below), whose sum is σ = 274360320. Its totient is φ = 50232960.

The previous prime is 137729719. The next prime is 137729791. The reversal of 137729746 is 647927731.

It is a junction number, because it is equal to n+sod(n) for n = 137729696 and 137729705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301150 + ... + 301606.

It is an arithmetic number, because the mean of its divisors is an integer number (4286880).

Almost surely, 2137729746 is an apocalyptic number.

137729746 is a deficient number, since it is larger than the sum of its proper divisors (136630574).

137729746 is a wasteful number, since it uses less digits than its factorization.

137729746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599.

The product of its digits is 444528, while the sum is 46.

The square root of 137729746 is about 11735.8317131765. The cubic root of 137729746 is about 516.4273671343.

The spelling of 137729746 in words is "one hundred thirty-seven million, seven hundred twenty-nine thousand, seven hundred forty-six".

Divisors: 1 2 7 11 14 19 22 38 77 103 133 154 206 209 266 418 457 721 914 1133 1442 1463 1957 2266 2926 3199 3914 5027 6398 7931 8683 10054 13699 15862 17366 21527 27398 35189 43054 47071 60781 70378 94142 95513 121562 150689 191026 301378 329497 517781 658994 668591 894349 1035562 1337182 1788698 3624467 6260443 7248934 9837839 12520886 19675678 68864873 137729746