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131891706 = 233231031031
BaseRepresentation
bin1111101110010…
…00000111111010
3100012011210102000
413313020013322
5232231013311
621030521430
73161026632
oct767100772
9305153360
10131891706
11684a4211
1238206276
132142b83b
14137336c2
15b8a4056
hex7dc81fa

131891706 has 64 divisors (see below), whose sum is σ = 309104640. Its totient is φ = 41603760.

The previous prime is 131891689. The next prime is 131891723. The reversal of 131891706 is 607198131.

It is an interprime number because it is at equal distance from previous prime (131891689) and next prime (131891723).

It is a super-2 number, since 2×1318917062 = 34790844223180872, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127411 + ... + 128441.

It is an arithmetic number, because the mean of its divisors is an integer number (4829760).

Almost surely, 2131891706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131891706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154552320).

131891706 is an abundant number, since it is smaller than the sum of its proper divisors (177212934).

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

131891706 is a wasteful number, since it uses less digits than its factorization.

131891706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 131891706 is about 11484.4114346361. The cubic root of 131891706 is about 509.0250578534.

The spelling of 131891706 in words is "one hundred thirty-one million, eight hundred ninety-one thousand, seven hundred six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 103 138 206 207 309 414 618 621 927 1031 1242 1854 2062 2369 2781 3093 4738 5562 6186 7107 9279 14214 18558 21321 23713 27837 42642 47426 55674 63963 71139 106193 127926 142278 212386 213417 318579 426834 637158 640251 955737 1280502 1911474 2442439 2867211 4884878 5734422 7327317 14654634 21981951 43963902 65945853 131891706