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131986530 = 233513311213
BaseRepresentation
bin1111101110111…
…11010001100010
3100012100121111000
413313133101202
5232242032110
621032532430
73161603244
oct767372142
9305317430
10131986530
1168559485
1238251116
1321462a50
141375a094
15b8c21c0
hex7ddf462

131986530 has 128 divisors (see below), whose sum is σ = 391587840. Its totient is φ = 31415040.

The previous prime is 131986529. The next prime is 131986531. The reversal of 131986530 is 35689131.

It is a happy number.

131986530 is a `hidden beast` number, since 1 + 31 + 98 + 6 + 530 = 666.

It is an interprime number because it is at equal distance from previous prime (131986529) and next prime (131986531).

It is not an unprimeable number, because it can be changed into a prime (131986531) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 108204 + ... + 109416.

It is an arithmetic number, because the mean of its divisors is an integer number (3059280).

Almost surely, 2131986530 is an apocalyptic number.

131986530 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 131986530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195793920).

131986530 is an abundant number, since it is smaller than the sum of its proper divisors (259601310).

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

131986530 is a wasteful number, since it uses less digits than its factorization.

131986530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 131986530 is about 11488.5390716139. The cubic root of 131986530 is about 509.1470170747.

The spelling of 131986530 in words is "one hundred thirty-one million, nine hundred eighty-six thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 31 39 45 54 62 65 78 90 93 117 130 135 155 186 195 234 270 279 310 351 390 403 465 558 585 702 806 837 930 1170 1209 1213 1395 1674 1755 2015 2418 2426 2790 3510 3627 3639 4030 4185 6045 6065 7254 7278 8370 10881 10917 12090 12130 15769 18135 18195 21762 21834 31538 32751 36270 36390 37603 47307 54405 54585 65502 75206 78845 94614 108810 109170 112809 141921 157690 163755 188015 225618 236535 283842 327510 338427 376030 425763 473070 488839 564045 676854 709605 851526 977678 1015281 1128090 1419210 1466517 1692135 2030562 2128815 2444195 2933034 3384270 4257630 4399551 4888390 5076405 7332585 8799102 10152810 13198653 14665170 21997755 26397306 43995510 65993265 131986530