Search a number
-
+
129036780 = 22335832879
BaseRepresentation
bin1111011000011…
…11000111101100
322222210202012000
413230033013230
5231013134110
620445412300
73124536345
oct754170754
9288722160
10129036780
1166924274
123726a090
132096c232
14131cd0cc
15b4dd1c0
hex7b0f1ec

129036780 has 96 divisors (see below), whose sum is σ = 406425600. Its totient is φ = 33983424.

The previous prime is 129036767. The next prime is 129036811. The reversal of 129036780 is 87630921.

129036780 is a `hidden beast` number, since 1 + 290 + 367 + 8 + 0 = 666.

It is a super-3 number, since 3×1290367803 (a number of 25 digits) contains 333 as substring.

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

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, 43381 + ... + 46259.

It is an arithmetic number, because the mean of its divisors is an integer number (4233600).

Almost surely, 2129036780 is an apocalyptic number.

129036780 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 129036780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203212800).

129036780 is an abundant number, since it is smaller than the sum of its proper divisors (277388820).

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

129036780 is a wasteful number, since it uses less digits than its factorization.

129036780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 129036780 is about 11359.4357254223. The cubic root of 129036780 is about 505.3254510984.

It can be divided in two parts, 12903 and 6780, that added together give a 9-th power (19683 = 39).

The spelling of 129036780 in words is "one hundred twenty-nine million, thirty-six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 83 90 108 135 166 180 249 270 332 415 498 540 747 830 996 1245 1494 1660 2241 2490 2879 2988 3735 4482 4980 5758 7470 8637 8964 11205 11516 14395 14940 17274 22410 25911 28790 34548 43185 44820 51822 57580 77733 86370 103644 129555 155466 172740 238957 259110 310932 388665 477914 518220 716871 777330 955828 1194785 1433742 1554660 2150613 2389570 2867484 3584355 4301226 4779140 6451839 7168710 8602452 10753065 12903678 14337420 21506130 25807356 32259195 43012260 64518390 129036780