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84131166 = 2377189317
BaseRepresentation
bin1010000001110…
…11110101011110
312212022022021010
411000323311132
5133014144131
612203120050
72041050240
oct500736536
9185268233
1084131166
1143542a99
1224213026
1314578872
14b260090
1575bcb46
hex503bd5e

84131166 has 64 divisors (see below), whose sum is σ = 197821440. Its totient is φ = 23358720.

The previous prime is 84131161. The next prime is 84131197. The reversal of 84131166 is 66113148.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84131161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265240 + ... + 265556.

It is an arithmetic number, because the mean of its divisors is an integer number (3090960).

Almost surely, 284131166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84131166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98910720).

84131166 is an abundant number, since it is smaller than the sum of its proper divisors (113690274).

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

84131166 is a wasteful number, since it uses less digits than its factorization.

84131166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489.

The product of its digits is 3456, while the sum is 30.

The square root of 84131166 is about 9172.3042906349. The cubic root of 84131166 is about 438.1797494128.

The spelling of 84131166 in words is "eighty-four million, one hundred thirty-one thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 42 71 89 142 178 213 267 317 426 497 534 623 634 951 994 1246 1491 1869 1902 2219 2982 3738 4438 6319 6657 12638 13314 18957 22507 28213 37914 44233 45014 56426 67521 84639 88466 132699 135042 157549 169278 197491 265398 315098 394982 472647 592473 945294 1184946 2003123 4006246 6009369 12018738 14021861 28043722 42065583 84131166