Search a number
-
+
136909696 = 2771129479
BaseRepresentation
bin10000010100100…
…01001110000000
3100112121201210111
420022101032000
5240022102241
621330241104
73251466430
oct1012211600
9315551714
10136909696
1170311310
1239a26194
1322497871
141427c2c0
15c045c81
hex8291380

136909696 has 128 divisors (see below), whose sum is σ = 352512000. Its totient is φ = 51394560.

The previous prime is 136909691. The next prime is 136909697. The reversal of 136909696 is 696909631.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136909691) 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, 285585 + ... + 286063.

It is an arithmetic number, because the mean of its divisors is an integer number (2754000).

Almost surely, 2136909696 is an apocalyptic number.

136909696 is a gapful number since it is divisible by the number (16) 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 136909696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176256000).

136909696 is an abundant number, since it is smaller than the sum of its proper divisors (215602304).

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

136909696 is a wasteful number, since it uses less digits than its factorization.

136909696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 49.

The square root of 136909696 is about 11700.8416791272. The cubic root of 136909696 is about 515.4003811412.

The spelling of 136909696 in words is "one hundred thirty-six million, nine hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 64 77 88 112 116 128 154 176 203 224 232 308 319 352 406 448 464 479 616 638 704 812 896 928 958 1232 1276 1408 1624 1856 1916 2233 2464 2552 3248 3353 3712 3832 4466 4928 5104 5269 6496 6706 7664 8932 9856 10208 10538 12992 13412 13891 15328 17864 20416 21076 25984 26824 27782 30656 35728 36883 40832 42152 53648 55564 61312 71456 73766 84304 97237 107296 111128 142912 147532 152801 168608 194474 214592 222256 285824 295064 305602 337216 388948 429184 444512 590128 611204 674432 777896 889024 1069607 1180256 1222408 1555792 1778048 2139214 2360512 2444816 3111584 4278428 4721024 4889632 6223168 8556856 9779264 12446336 17113712 19558528 34227424 68454848 136909696