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136966950 = 2355211273
BaseRepresentation
bin10000010100111…
…11001100100110
3100112201122100000
420022133030212
5240030420300
621331402130
73252125361
oct1012371446
9315648300
10136966950
117035032a
1239a53346
13224b7943
14142950d8
15c057c00
hex829f326

136966950 has 72 divisors (see below), whose sum is σ = 381647448. Its totient is φ = 36521280.

The previous prime is 136966939. The next prime is 136966979. The reversal of 136966950 is 59669631.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 136966896 and 136966905.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 6514 + ... + 17786.

It is an arithmetic number, because the mean of its divisors is an integer number (5300659).

Almost surely, 2136966950 is an apocalyptic number.

136966950 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 136966950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190823724).

136966950 is an abundant number, since it is smaller than the sum of its proper divisors (244680498).

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

136966950 is a wasteful number, since it uses less digits than its factorization.

136966950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11300 (or 11283 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 136966950 is about 11703.2879995324. The cubic root of 136966950 is about 515.4722158903.

The spelling of 136966950 in words is "one hundred thirty-six million, nine hundred sixty-six thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 243 270 405 450 486 675 810 1215 1350 2025 2430 4050 6075 11273 12150 22546 33819 56365 67638 101457 112730 169095 202914 281825 304371 338190 507285 563650 608742 845475 913113 1014570 1521855 1690950 1826226 2536425 2739339 3043710 4565565 5072850 5478678 7609275 9131130 13696695 15218550 22827825 27393390 45655650 68483475 136966950