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131689206 = 23311475389
BaseRepresentation
bin1111101100101…
…10101011110110
3100011210111122000
413312112223312
5232203023311
621022320130
73156224355
oct766265366
9304714560
10131689206
1168376060
1238129046
132138a60c
14136bd99c
15b864056
hex7d96af6

131689206 has 128 divisors (see below), whose sum is σ = 335923200. Its totient is φ = 37889280.

The previous prime is 131689193. The next prime is 131689223. The reversal of 131689206 is 602986131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1479610 + ... + 1479698.

It is an arithmetic number, because the mean of its divisors is an integer number (2624400).

Almost surely, 2131689206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131689206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167961600).

131689206 is an abundant number, since it is smaller than the sum of its proper divisors (204233994).

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

131689206 is a wasteful number, since it uses less digits than its factorization.

131689206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 131689206 is about 11475.5917494480. The cubic root of 131689206 is about 508.7644137847.

The spelling of 131689206 in words is "one hundred thirty-one million, six hundred eighty-nine thousand, two hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 53 54 66 89 94 99 106 141 159 178 198 267 282 297 318 423 477 517 534 583 594 801 846 954 979 1034 1166 1269 1431 1551 1602 1749 1958 2403 2491 2538 2862 2937 3102 3498 4183 4653 4717 4806 4982 5247 5874 7473 8366 8811 9306 9434 10494 12549 13959 14151 14946 15741 17622 22419 25098 26433 27401 27918 28302 31482 37647 42453 44838 46013 51887 52866 54802 67257 75294 82203 84906 92026 103774 112941 127359 134514 138039 155661 164406 221699 225882 246609 254718 276078 311322 414117 443398 466983 493218 665097 739827 828234 933966 1242351 1330194 1400949 1479654 1995291 2438689 2484702 2801898 3990582 4877378 5985873 7316067 11971746 14632134 21948201 43896402 65844603 131689206