Search a number
-
+
129538458 = 23272227647
BaseRepresentation
bin1111011100010…
…01100110011010
3100000202020100200
413232021212122
5231130212313
620504243030
73132026100
oct756114632
9300666320
10129538458
1167137185
1237470476
1320ab669a
14132bdc70
15b58bb73
hex7b8999a

129538458 has 72 divisors (see below), whose sum is σ = 328434912. Its totient is φ = 36790992.

The previous prime is 129538457. The next prime is 129538469. The reversal of 129538458 is 854835921.

It is not an unprimeable number, because it can be changed into a prime (129538457) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 199891 + ... + 200537.

It is an arithmetic number, because the mean of its divisors is an integer number (4561596).

Almost surely, 2129538458 is an apocalyptic number.

129538458 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 129538458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164217456).

129538458 is an abundant number, since it is smaller than the sum of its proper divisors (198896454).

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

129538458 is a wasteful number, since it uses less digits than its factorization.

129538458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 886 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 129538458 is about 11381.4962988177. The cubic root of 129538458 is about 505.9794838240.

The spelling of 129538458 in words is "one hundred twenty-nine million, five hundred thirty-eight thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 227 294 441 454 647 681 882 1294 1362 1589 1941 2043 3178 3882 4086 4529 4767 5823 9058 9534 11123 11646 13587 14301 22246 27174 28602 31703 33369 40761 63406 66738 81522 95109 100107 146869 190218 200214 285327 293738 440607 570654 881214 1028083 1321821 2056166 2643642 3084249 6168498 7196581 9252747 14393162 18505494 21589743 43179486 64769229 129538458