Search a number
-
+
84001092 = 22372373383
BaseRepresentation
bin1010000000111…
…00000101000100
312212001200211120
411000130011010
5133001013332
612200233540
72036666100
oct500340504
9185050746
1084001092
114346429a
122416b8b0
13145315b6
14b228900
15759432c
hex501c144

84001092 has 72 divisors (see below), whose sum is σ = 229211136. Its totient is φ = 23873472.

The previous prime is 84001061. The next prime is 84001111. The reversal of 84001092 is 29010048.

84001092 is a modest number, since divided by 1092 gives 84 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219133 + ... + 219515.

It is an arithmetic number, because the mean of its divisors is an integer number (3183488).

Almost surely, 284001092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84001092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114605568).

84001092 is an abundant number, since it is smaller than the sum of its proper divisors (145210044).

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

84001092 is a wasteful number, since it uses less digits than its factorization.

84001092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 84001092 is about 9165.2109632021. The cubic root of 84001092 is about 437.9538117722.

The spelling of 84001092 in words is "eighty-four million, one thousand, ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 373 383 588 746 766 1119 1149 1492 1532 2238 2298 2611 2681 4476 4596 5222 5362 7833 8043 10444 10724 15666 16086 18277 18767 31332 32172 36554 37534 54831 56301 73108 75068 109662 112602 142859 219324 225204 285718 428577 571436 857154 1000013 1714308 2000026 3000039 4000052 6000078 7000091 12000156 14000182 21000273 28000364 42000546 84001092