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840420 = 2232572329
BaseRepresentation
bin11001101001011100100
31120200211200
43031023210
5203343140
630002500
710100130
oct3151344
91520750
10840420
11524469
12346430
132356b9
1417c3c0
15119030
hexcd2e4

840420 has 144 divisors (see below), whose sum is σ = 3144960. Its totient is φ = 177408.

The previous prime is 840353. The next prime is 840439. The reversal of 840420 is 24048.

It is a happy number.

840420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 840393 and 840402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28966 + ... + 28994.

It is an arithmetic number, because the mean of its divisors is an integer number (21840).

2840420 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 840420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572480).

840420 is an abundant number, since it is smaller than the sum of its proper divisors (2304540).

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

840420 is a wasteful number, since it uses less digits than its factorization.

840420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 840420 is about 916.7442391420. The cubic root of 840420 is about 94.3696026327.

Adding to 840420 its reverse (24048), we get a palindrome (864468).

The spelling of 840420 in words is "eight hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 29 30 35 36 42 45 46 58 60 63 69 70 84 87 90 92 105 115 116 126 138 140 145 161 174 180 203 207 210 230 252 261 276 290 315 322 345 348 406 414 420 435 460 483 522 580 609 630 644 667 690 805 812 828 870 966 1015 1035 1044 1218 1260 1305 1334 1380 1449 1610 1740 1827 1932 2001 2030 2070 2415 2436 2610 2668 2898 3045 3220 3335 3654 4002 4060 4140 4669 4830 5220 5796 6003 6090 6670 7245 7308 8004 9135 9338 9660 10005 12006 12180 13340 14007 14490 18270 18676 20010 23345 24012 28014 28980 30015 36540 40020 42021 46690 56028 60030 70035 84042 93380 120060 140070 168084 210105 280140 420210 840420