Search a number
-
+
203421420 = 223255321323
BaseRepresentation
bin11000001111111…
…11011011101100
3112011202212201200
430013333123230
5404033441140
632104005500
75020024236
oct1407773354
9464685650
10203421420
11a490a584
1258160890
13331b4707
141d033256
1512cd3030
hexc1ff6ec

203421420 has 72 divisors (see below), whose sum is σ = 628716816. Its totient is φ = 53219712.

The previous prime is 203421401. The next prime is 203421431. The reversal of 203421420 is 24124302.

203421420 is a `hidden beast` number, since 203 + 42 + 1 + 420 = 666.

It is a super-2 number, since 2×2034214202 = 82760548229632800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 203421393 and 203421402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1122 + ... + 20201.

It is an arithmetic number, because the mean of its divisors is an integer number (8732178).

Almost surely, 2203421420 is an apocalyptic number.

203421420 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 203421420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314358408).

203421420 is an abundant number, since it is smaller than the sum of its proper divisors (425295396).

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

203421420 is a wasteful number, since it uses less digits than its factorization.

203421420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21391 (or 21386 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 203421420 is about 14262.5881241800. The cubic root of 203421420 is about 588.1194745425.

Adding to 203421420 its reverse (24124302), we get a palindrome (227545722).

It can be divided in two parts, 203421 and 420, that added together give a triangular number (203841 = T638).

The spelling of 203421420 in words is "two hundred three million, four hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4770 9540 21323 42646 63969 85292 106615 127938 191907 213230 255876 319845 383814 426460 639690 767628 959535 1130119 1279380 1919070 2260238 3390357 3838140 4520476 5650595 6780714 10171071 11301190 13561428 16951785 20342142 22602380 33903570 40684284 50855355 67807140 101710710 203421420