Search a number
-
+
84298320 = 2434513009
BaseRepresentation
bin1010000011001…
…00101001010000
312212121210120000
411001210221100
5133040021240
612210450000
72042344461
oct501445120
9185553500
1084298320
1143647637
1224293900
1314606982
14b2a4d68
157602430
hex5064a50

84298320 has 100 divisors (see below), whose sum is σ = 292803060. Its totient is φ = 22477824.

The previous prime is 84298303. The next prime is 84298343. The reversal of 84298320 is 2389248.

It can be written as a sum of positive squares in 2 ways, for example, as 23270976 + 61027344 = 4824^2 + 7812^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25 + ... + 12984.

Almost surely, 284298320 is an apocalyptic number.

84298320 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 84298320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146401530).

84298320 is an abundant number, since it is smaller than the sum of its proper divisors (208504740).

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

84298320 is a wasteful number, since it uses less digits than its factorization.

84298320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13034 (or 13019 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 84298320 is about 9181.4116561670. The cubic root of 84298320 is about 438.4697530956.

The spelling of 84298320 in words is "eighty-four million, two hundred ninety-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 13009 26018 39027 52036 65045 78054 104072 117081 130090 156108 195135 208144 234162 260180 312216 351243 390270 468324 520360 585405 624432 702486 780540 936648 1040720 1053729 1170810 1404972 1561080 1756215 1873296 2107458 2341620 2809944 3122160 3512430 4214916 4683240 5268645 5619888 7024860 8429832 9366480 10537290 14049720 16859664 21074580 28099440 42149160 84298320