Search a number
-
+
136482840 = 23335139721
BaseRepresentation
bin10000010001010…
…01000000011000
3100111211001021000
420020221000120
5234414422330
621313145000
73245041104
oct1010510030
9314731230
10136482840
117004a63a
123985b160
13223784a0
14141aa904
15beae560
hex8229018

136482840 has 128 divisors (see below), whose sum is σ = 489988800. Its totient is φ = 33592320.

The previous prime is 136482839. The next prime is 136482847. The reversal of 136482840 is 48284631.

136482840 is a `hidden beast` number, since 1 + 3 + 648 + 2 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×1364828402 = 37255131228931200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 136482795 and 136482804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136482847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9180 + ... + 18900.

Almost surely, 2136482840 is an apocalyptic number.

136482840 is a gapful number since it is divisible by the number (10) 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 136482840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244994400).

136482840 is an abundant number, since it is smaller than the sum of its proper divisors (353505960).

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

136482840 is a wasteful number, since it uses less digits than its factorization.

136482840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9754 (or 9744 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 136482840 is about 11682.5870422608. The cubic root of 136482840 is about 514.8641863882.

The spelling of 136482840 in words is "one hundred thirty-six million, four hundred eighty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 9721 14040 19442 29163 38884 48605 58326 77768 87489 97210 116652 126373 145815 174978 194420 233304 252746 262467 291630 349956 379119 388840 437445 505492 524934 583260 631865 699912 758238 874890 1010984 1049868 1137357 1166520 1263730 1312335 1516476 1749780 1895595 2099736 2274714 2527460 2624670 3032952 3412071 3499560 3791190 4549428 5054920 5249340 5686785 6824142 7582380 9098856 10498680 11373570 13648284 15164760 17060355 22747140 27296568 34120710 45494280 68241420 136482840