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4020420 = 2235371811
BaseRepresentation
bin1111010101100011000100
321120020222110
433111203010
52012123140
6222101020
746113225
oct17254304
97506873
104020420
1122a6668
12141a770
13aa9c61
1476924c
15546380
hex3d58c4

4020420 has 48 divisors (see below), whose sum is σ = 11567808. Its totient is φ = 1042560.

The previous prime is 4020409. The next prime is 4020431. The reversal of 4020420 is 240204.

4020420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4020409) and next prime (4020431).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4020396 and 4020405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1315 + ... + 3125.

It is an arithmetic number, because the mean of its divisors is an integer number (240996).

Almost surely, 24020420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4020420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5783904).

4020420 is an abundant number, since it is smaller than the sum of its proper divisors (7547388).

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

4020420 is a wasteful number, since it uses less digits than its factorization.

4020420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4020420 is about 2005.0985013211. The cubic root of 4020420 is about 159.0097695828.

Adding to 4020420 its reverse (240204), we get a palindrome (4260624).

The spelling of 4020420 in words is "four million, twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 1811 2220 3622 5433 7244 9055 10866 18110 21732 27165 36220 54330 67007 108660 134014 201021 268028 335035 402042 670070 804084 1005105 1340140 2010210 4020420