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2378420 = 2251119569
BaseRepresentation
bin1001000100101010110100
311110211120122
421010222310
51102102140
6122551112
726134112
oct11045264
94424518
102378420
111384a40
12968498
13653765
1445cab2
1531eab5
hex244ab4

2378420 has 48 divisors (see below), whose sum is σ = 5745600. Its totient is φ = 817920.

The previous prime is 2378399. The next prime is 2378423. The reversal of 2378420 is 248732.

It is a d-powerful number, because it can be written as 2 + 37 + 75 + 87 + 49 + 27 + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 2378420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2378423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3896 + ... + 4464.

It is an arithmetic number, because the mean of its divisors is an integer number (119700).

22378420 is an apocalyptic number.

2378420 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 2378420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872800).

2378420 is an abundant number, since it is smaller than the sum of its proper divisors (3367180).

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

2378420 is a wasteful number, since it uses less digits than its factorization.

2378420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 2378420 is about 1542.2126960961. The cubic root of 2378420 is about 133.4840933602.

Subtracting from 2378420 its product of nonzero digits (2688), we obtain a palindrome (2375732).

The spelling of 2378420 in words is "two million, three hundred seventy-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 569 836 1045 1138 2090 2276 2845 4180 5690 6259 10811 11380 12518 21622 25036 31295 43244 54055 62590 108110 118921 125180 216220 237842 475684 594605 1189210 2378420