Search a number
-
+
84254130 = 23258311279
BaseRepresentation
bin1010000010110…
…01110110110010
312212112112221100
411001121312302
5133032113010
612205505230
72042101602
oct501316662
9185475840
1084254130
1143617414
1224272216
13145bc81c
14b292c02
1575e42c0
hex5059db2

84254130 has 48 divisors (see below), whose sum is σ = 221719680. Its totient is φ = 22195104.

The previous prime is 84254123. The next prime is 84254141. The reversal of 84254130 is 3145248.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 84254094 and 84254103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1831 + ... + 13109.

It is an arithmetic number, because the mean of its divisors is an integer number (4619160).

Almost surely, 284254130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84254130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110859840).

84254130 is an abundant number, since it is smaller than the sum of its proper divisors (137465550).

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

84254130 is a wasteful number, since it uses less digits than its factorization.

84254130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11375 (or 11372 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 84254130 is about 9179.0048480214. The cubic root of 84254130 is about 438.3931229996.

Adding to 84254130 its reverse (3145248), we get a palindrome (87399378).

The spelling of 84254130 in words is "eighty-four million, two hundred fifty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 83 90 166 249 415 498 747 830 1245 1494 2490 3735 7470 11279 22558 33837 56395 67674 101511 112790 169185 203022 338370 507555 936157 1015110 1872314 2808471 4680785 5616942 8425413 9361570 14042355 16850826 28084710 42127065 84254130