Search a number
-
+
84135810 = 235111371861
BaseRepresentation
bin1010000001111…
…00111110000010
312212022112122010
411000330332002
5133014321220
612203153350
72041066623
oct500747602
9185275563
1084135810
1143546530
1224215856
131457aa05
14b261a4a
1575be1e0
hex503cf82

84135810 has 64 divisors (see below), whose sum is σ = 222009984. Its totient is φ = 20236800.

The previous prime is 84135787. The next prime is 84135823. The reversal of 84135810 is 1853148.

It is a super-2 number, since 2×841358102 = 14157669048712200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44280 + ... + 46140.

It is an arithmetic number, because the mean of its divisors is an integer number (3468906).

Almost surely, 284135810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84135810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111004992).

84135810 is an abundant number, since it is smaller than the sum of its proper divisors (137874174).

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

84135810 is a wasteful number, since it uses less digits than its factorization.

84135810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019.

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 84135810 is about 9172.5574405397. The cubic root of 84135810 is about 438.1878117018.

Adding to 84135810 its reverse (1853148), we get a palindrome (85988958).

The spelling of 84135810 in words is "eighty-four million, one hundred thirty-five thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 137 165 274 330 411 685 822 1370 1507 1861 2055 3014 3722 4110 4521 5583 7535 9042 9305 11166 15070 18610 20471 22605 27915 40942 45210 55830 61413 102355 122826 204710 254957 307065 509914 614130 764871 1274785 1529742 2549570 2804527 3824355 5609054 7648710 8413581 14022635 16827162 28045270 42067905 84135810