Search a number
-
+
131728506 = 23713241261
BaseRepresentation
bin1111101101000…
…00010001111010
3100011212111112120
413312200101322
5232210303011
621023222110
73156450060
oct766402172
9304774476
10131728506
11683a2638
1238147936
13213a2480
14136d0030
15b870a06
hex7da047a

131728506 has 32 divisors (see below), whose sum is σ = 324256128. Its totient is φ = 34741440.

The previous prime is 131728489. The next prime is 131728537. The reversal of 131728506 is 605827131.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120085 + ... + 121176.

It is an arithmetic number, because the mean of its divisors is an integer number (10133004).

Almost surely, 2131728506 is an apocalyptic number.

131728506 is an abundant number, since it is smaller than the sum of its proper divisors (192527622).

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

131728506 is a wasteful number, since it uses less digits than its factorization.

131728506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241286.

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 131728506 is about 11477.3039517127. The cubic root of 131728506 is about 508.8150189264.

The spelling of 131728506 in words is "one hundred thirty-one million, seven hundred twenty-eight thousand, five hundred six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 241261 482522 723783 1447566 1688827 3136393 3377654 5066481 6272786 9409179 10132962 18818358 21954751 43909502 65864253 131728506