Search a number
-
+
136478940 = 223513374729
BaseRepresentation
bin10000010001010…
…00000011011100
3100111210211220120
420020220003130
5234414311230
621313114540
73245023533
oct1010500334
9314724816
10136478940
1170047714
1239858a50
1322376790
14141a931a
15bead310
hex82280dc

136478940 has 96 divisors (see below), whose sum is σ = 422748480. Its totient is φ = 32679936.

The previous prime is 136478939. The next prime is 136478963. The reversal of 136478940 is 49874631.

It is a junction number, because it is equal to n+sod(n) for n = 136478892 and 136478901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26496 + ... + 31224.

It is an arithmetic number, because the mean of its divisors is an integer number (4403630).

Almost surely, 2136478940 is an apocalyptic number.

136478940 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 136478940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211374240).

136478940 is an abundant number, since it is smaller than the sum of its proper divisors (286269540).

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

136478940 is a wasteful number, since it uses less digits than its factorization.

136478940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4791 (or 4789 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 136478940 is about 11682.4201259842. The cubic root of 136478940 is about 514.8592822566.

The spelling of 136478940 in words is "one hundred thirty-six million, four hundred seventy-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 37 39 52 60 65 74 78 111 130 148 156 185 195 222 260 370 390 444 481 555 740 780 962 1110 1443 1924 2220 2405 2886 4729 4810 5772 7215 9458 9620 14187 14430 18916 23645 28374 28860 47290 56748 61477 70935 94580 122954 141870 174973 184431 245908 283740 307385 349946 368862 524919 614770 699892 737724 874865 922155 1049838 1229540 1749730 1844310 2099676 2274649 2624595 3499460 3688620 4549298 5249190 6823947 9098596 10498380 11373245 13647894 22746490 27295788 34119735 45492980 68239470 136478940