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2370420 = 22325131013
BaseRepresentation
bin1001000010101101110100
311110102121100
421002231310
51101323140
6122450100
726101563
oct11025564
94412540
102370420
111379a28
12963930
1364cc20
14459bda
1531c530
hex242b74

2370420 has 72 divisors (see below), whose sum is σ = 7751016. Its totient is φ = 582912.

The previous prime is 2370409. The next prime is 2370427. The reversal of 2370420 is 240732.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 138384 + 2232036 = 372^2 + 1494^2 .

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 = 2370393 and 2370402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2370427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1834 + ... + 2846.

It is an arithmetic number, because the mean of its divisors is an integer number (107653).

22370420 is an apocalyptic number.

2370420 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 2370420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3875508).

2370420 is an abundant number, since it is smaller than the sum of its proper divisors (5380596).

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

2370420 is a wasteful number, since it uses less digits than its factorization.

2370420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2370420 is about 1539.6168354497. The cubic root of 2370420 is about 133.3342638824.

The spelling of 2370420 in words is "two million, three hundred seventy thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1013 1170 2026 2340 3039 4052 5065 6078 9117 10130 12156 13169 15195 18234 20260 26338 30390 36468 39507 45585 52676 60780 65845 79014 91170 118521 131690 158028 182340 197535 237042 263380 395070 474084 592605 790140 1185210 2370420