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131706208 = 25172391013
BaseRepresentation
bin1111101100110…
…10110101100000
3100011211100221201
413312122311200
5232204044313
621022530544
73156325054
oct766326540
9304740851
10131706208
1168387907
1238136a54
132139528a
14136c5c64
15b8690dd
hex7d9ad60

131706208 has 48 divisors (see below), whose sum is σ = 275970240. Its totient is φ = 61659136.

The previous prime is 131706161. The next prime is 131706217. The reversal of 131706208 is 802607131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129510 + ... + 130522.

It is an arithmetic number, because the mean of its divisors is an integer number (5749380).

Almost surely, 2131706208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131706208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137985120).

131706208 is an abundant number, since it is smaller than the sum of its proper divisors (144264032).

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

131706208 is a wasteful number, since it uses less digits than its factorization.

131706208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 131706208 is about 11476.3325152245. The cubic root of 131706208 is about 508.7863078604.

The spelling of 131706208 in words is "one hundred thirty-one million, seven hundred six thousand, two hundred eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 239 272 478 544 956 1013 1912 2026 3824 4052 4063 7648 8104 8126 16208 16252 17221 32416 32504 34442 65008 68884 130016 137768 242107 275536 484214 551072 968428 1936856 3873712 4115819 7747424 8231638 16463276 32926552 65853104 131706208