Search a number
-
+
136992384 = 273473181
BaseRepresentation
bin10000010101001…
…01011010000000
3100112202221020000
420022211122000
5240032224014
621332120000
73252262464
oct1012453200
9315687200
10136992384
1170368451
1239a66000
13224c63a9
14142a04a4
15c060509
hex82a5680

136992384 has 160 divisors (see below), whose sum is σ = 415555140. Its totient is φ = 44789760.

The previous prime is 136992377. The next prime is 136992403. The reversal of 136992384 is 483299631.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 124545600 + 12446784 = 11160^2 + 3528^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 756774 + ... + 756954.

Almost surely, 2136992384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136992384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207777570).

136992384 is an abundant number, since it is smaller than the sum of its proper divisors (278562756).

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

136992384 is an equidigital number, since it uses as much as digits as its factorization.

136992384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 259 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 136992384 is about 11704.3745668019. The cubic root of 136992384 is about 515.5041206890.

The spelling of 136992384 in words is "one hundred thirty-six million, nine hundred ninety-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 81 96 108 128 144 146 162 181 192 216 219 288 292 324 362 384 432 438 543 576 584 648 657 724 864 876 1086 1152 1168 1296 1314 1448 1629 1728 1752 1971 2172 2336 2592 2628 2896 3258 3456 3504 3942 4344 4672 4887 5184 5256 5792 5913 6516 7008 7884 8688 9344 9774 10368 10512 11584 11826 13032 13213 14016 14661 15768 17376 19548 21024 23168 23652 26064 26426 28032 29322 31536 34752 39096 39639 42048 47304 52128 52852 58644 63072 69504 78192 79278 84096 94608 104256 105704 117288 118917 126144 156384 158556 189216 208512 211408 234576 237834 252288 312768 317112 356751 378432 422816 469152 475668 625536 634224 713502 756864 845632 938304 951336 1070253 1268448 1427004 1691264 1876608 1902672 2140506 2536896 2854008 3805344 4281012 5073792 5708016 7610688 8562024 11416032 15221376 17124048 22832064 34248096 45664128 68496192 136992384