Search a number
-
+
2135420 = 225722179
BaseRepresentation
bin1000001001010101111100
311000111020122
420021111330
51021313140
6113434112
724102500
oct10112574
94014218
102135420
111229411
1286b938
13599c81
143d8300
152c2ab5
hex20957c

2135420 has 36 divisors (see below), whose sum is σ = 5218920. Its totient is φ = 731808.

The previous prime is 2135417. The next prime is 2135447. The reversal of 2135420 is 245312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110 + ... + 2069.

It is an arithmetic number, because the mean of its divisors is an integer number (144970).

22135420 is an apocalyptic number.

2135420 is a gapful number since it is divisible by the number (20) 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 2135420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609460).

2135420 is an abundant number, since it is smaller than the sum of its proper divisors (3083500).

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

2135420 is a wasteful number, since it uses less digits than its factorization.

2135420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2135420 is about 1461.3076335940. The cubic root of 2135420 is about 128.7738762393.

The spelling of 2135420 in words is "two million, one hundred thirty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 2179 4358 8716 10895 15253 21790 30506 43580 61012 76265 106771 152530 213542 305060 427084 533855 1067710 2135420