Search a number
-
+
84098000 = 245376007
BaseRepresentation
bin1010000001100…
…11101111010000
312212020121202202
411000303233100
5133012114000
612202302332
72040551450
oct500635720
9185217682
1084098000
1143520088
12241b79a8
131456673c
14b251d60
1575b2dd5
hex5033bd0

84098000 has 80 divisors (see below), whose sum is σ = 232437504. Its totient is φ = 28828800.

The previous prime is 84097973. The next prime is 84098017. The reversal of 84098000 is 89048.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10997 + ... + 17003.

Almost surely, 284098000 is an apocalyptic number.

84098000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84098000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116218752).

84098000 is an abundant number, since it is smaller than the sum of its proper divisors (148339504).

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

84098000 is a wasteful number, since it uses less digits than its factorization.

84098000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6037 (or 6021 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 84098000 is about 9170.4961697827. The cubic root of 84098000 is about 438.1221624314.

The spelling of 84098000 in words is "eighty-four million, ninety-eight thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 6007 7000 12014 14000 24028 30035 42049 48056 60070 84098 96112 120140 150175 168196 210245 240280 300350 336392 420490 480560 600700 672784 750875 840980 1051225 1201400 1501750 1681960 2102450 2402800 3003500 3363920 4204900 5256125 6007000 8409800 10512250 12014000 16819600 21024500 42049000 84098000