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2019420 = 2232513863
BaseRepresentation
bin111101101000001011100
310210121010100
413231001130
51004110140
6111141100
723110344
oct7550134
93717110
102019420
11115a247
12814790
13559230
143a7d24
1529d530
hex1ed05c

2019420 has 72 divisors (see below), whose sum is σ = 6604416. Its totient is φ = 496512.

The previous prime is 2019419. The next prime is 2019461. The reversal of 2019420 is 249102.

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 = 2019393 and 2019402.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1909 + ... + 2771.

It is an arithmetic number, because the mean of its divisors is an integer number (91728).

22019420 is an apocalyptic number.

2019420 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 2019420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302208).

2019420 is an abundant number, since it is smaller than the sum of its proper divisors (4584996).

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

2019420 is a wasteful number, since it uses less digits than its factorization.

2019420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2019420 is about 1421.0629824184. The cubic root of 2019420 is about 126.3985866156.

The spelling of 2019420 in words is "two million, nineteen 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 90 117 130 156 180 195 234 260 390 468 585 780 863 1170 1726 2340 2589 3452 4315 5178 7767 8630 10356 11219 12945 15534 17260 22438 25890 31068 33657 38835 44876 51780 56095 67314 77670 100971 112190 134628 155340 168285 201942 224380 336570 403884 504855 673140 1009710 2019420