Search a number
-
+
136248336 = 24327177951
BaseRepresentation
bin10000001111011…
…11110000010000
3100111101010120200
420013233300100
5234334421321
621304135200
73243043320
oct1007576020
9314333520
10136248336
116a9aa434
1239767500
13222c5823
1414149280
15be64d26
hex81efc10

136248336 has 120 divisors (see below), whose sum is σ = 461470464. Its totient is φ = 36633600.

The previous prime is 136248323. The next prime is 136248337. The reversal of 136248336 is 633842631.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 136248336.

It is not an unprimeable number, because it can be changed into a prime (136248337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13161 + ... + 21111.

Almost surely, 2136248336 is an apocalyptic number.

136248336 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 136248336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230735232).

136248336 is an abundant number, since it is smaller than the sum of its proper divisors (325222128).

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

136248336 is a wasteful number, since it uses less digits than its factorization.

136248336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7989 (or 7980 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 136248336 is about 11672.5462517824. The cubic root of 136248336 is about 514.5691384845.

The spelling of 136248336 in words is "one hundred thirty-six million, two hundred forty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1224 1428 1904 2142 2448 2856 4284 5712 7951 8568 15902 17136 23853 31804 47706 55657 63608 71559 95412 111314 127216 135167 143118 166971 190824 222628 270334 286236 333942 381648 405501 445256 500913 540668 572472 667884 811002 890512 946169 1001826 1081336 1144944 1216503 1335768 1622004 1892338 2003652 2162672 2433006 2671536 2838507 3244008 3784676 4007304 4866012 5677014 6488016 7569352 8014608 8515521 9732024 11354028 15138704 17031042 19464048 22708056 34062084 45416112 68124168 136248336