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131666430 = 23572432083
BaseRepresentation
bin1111101100100…
…01000111111110
3100011202100101110
413312101013332
5232201311210
621022022450
73156101100
oct766210776
9304670343
10131666430
116835aa35
1238117a26
132138013c
14136b5570
15b85c420
hex7d911fe

131666430 has 96 divisors (see below), whose sum is σ = 376320384. Its totient is φ = 29381184.

The previous prime is 131666429. The next prime is 131666443. The reversal of 131666430 is 34666131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62169 + ... + 64251.

It is an arithmetic number, because the mean of its divisors is an integer number (3920004).

Almost surely, 2131666430 is an apocalyptic number.

131666430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131666430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188160192).

131666430 is an abundant number, since it is smaller than the sum of its proper divisors (244653954).

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

131666430 is a wasteful number, since it uses less digits than its factorization.

131666430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 131666430 is about 11474.5993394105. The cubic root of 131666430 is about 508.7350813721.

The spelling of 131666430 in words is "one hundred thirty-one million, six hundred sixty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 49 70 86 98 105 129 147 210 215 245 258 294 301 430 490 602 645 735 903 1290 1470 1505 1806 2083 2107 3010 4166 4214 4515 6249 6321 9030 10415 10535 12498 12642 14581 20830 21070 29162 31245 31605 43743 62490 63210 72905 87486 89569 102067 145810 179138 204134 218715 268707 306201 437430 447845 510335 537414 612402 626983 895690 1020670 1253966 1343535 1531005 1880949 2687070 3062010 3134915 3761898 4388881 6269830 8777762 9404745 13166643 18809490 21944405 26333286 43888810 65833215 131666430