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136984848 = 243711132851
BaseRepresentation
bin10000010101000…
…11100100010000
3100112202112212220
420022203210100
5240032003343
621332021040
73252231510
oct1012434420
9315675786
10136984848
1170362820
1239a61780
13224c2b30
141429b840
15c05d183
hex82a3910

136984848 has 160 divisors (see below), whose sum is σ = 475302912. Its totient is φ = 32832000.

The previous prime is 136984847. The next prime is 136984873. The reversal of 136984848 is 848489631.

It is a self number, because there is not a number n which added to its sum of digits gives 136984848.

It is not an unprimeable number, because it can be changed into a prime (136984847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46623 + ... + 49473.

Almost surely, 2136984848 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 136984848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237651456).

136984848 is an abundant number, since it is smaller than the sum of its proper divisors (338318064).

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

136984848 is a wasteful number, since it uses less digits than its factorization.

136984848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893 (or 2887 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 51.

The square root of 136984848 is about 11704.0526314606. The cubic root of 136984848 is about 515.4946678270.

The spelling of 136984848 in words is "one hundred thirty-six million, nine hundred eighty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 112 132 143 154 156 168 176 182 208 231 264 273 286 308 312 336 364 429 462 528 546 572 616 624 728 858 924 1001 1092 1144 1232 1456 1716 1848 2002 2184 2288 2851 3003 3432 3696 4004 4368 5702 6006 6864 8008 8553 11404 12012 16016 17106 19957 22808 24024 31361 34212 37063 39914 45616 48048 59871 62722 68424 74126 79828 94083 111189 119742 125444 136848 148252 159656 188166 219527 222378 239484 250888 259441 296504 319312 376332 407693 439054 444756 478968 501776 518882 593008 658581 752664 778323 815386 878108 889512 957936 1037764 1223079 1317162 1505328 1556646 1630772 1756216 1779024 2075528 2446158 2634324 2853851 3113292 3261544 3512432 4151056 4892316 5268648 5707702 6226584 6523088 8561553 9784632 10537296 11415404 12453168 17123106 19569264 22830808 34246212 45661616 68492424 136984848