Search a number
-
+
129817038 = 231310915269
BaseRepresentation
bin1111011110011…
…01100111001110
3100001021101111110
413233031213032
5231213121123
620514232450
73134266221
oct757154716
9301241443
10129817038
116730750a
1237585726
1320b83420
14133535b8
15b5e4493
hex7bcd9ce

129817038 has 32 divisors (see below), whose sum is σ = 282189600. Its totient is φ = 39574656.

The previous prime is 129817033. The next prime is 129817067. The reversal of 129817038 is 830718921.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 129816987 and 129817005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129817033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 868 + ... + 16136.

It is an arithmetic number, because the mean of its divisors is an integer number (8818425).

Almost surely, 2129817038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129817038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141094800).

129817038 is an abundant number, since it is smaller than the sum of its proper divisors (152372562).

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

129817038 is a wasteful number, since it uses less digits than its factorization.

129817038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15396.

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 129817038 is about 11393.7280114983. The cubic root of 129817038 is about 506.3419369075.

It can be divided in two parts, 1298 and 17038, that added together give a triangular number (18336 = T191).

The spelling of 129817038 in words is "one hundred twenty-nine million, eight hundred seventeen thousand, thirty-eight".

Divisors: 1 2 3 6 13 26 39 78 109 218 327 654 1417 2834 4251 8502 15269 30538 45807 91614 198497 396994 595491 1190982 1664321 3328642 4992963 9985926 21636173 43272346 64908519 129817038