Search a number
-
+
6420000 = 25354107
BaseRepresentation
bin11000011111011000100000
3110002011120210
4120133120200
53120420000
6345334120
7105366126
oct30373040
913064523
106420000
113695494
122197340
13143a222
14bd1916
1586c350
hex61f620

6420000 has 120 divisors (see below), whose sum is σ = 21255696. Its totient is φ = 1696000.

The previous prime is 6419989. The next prime is 6420023. The reversal of 6420000 is 246.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59947 + ... + 60053.

Almost surely, 26420000 is an apocalyptic number.

6420000 is a gapful number since it is divisible by the number (60) 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 6420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10627848).

6420000 is an abundant number, since it is smaller than the sum of its proper divisors (14835696).

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

6420000 is a wasteful number, since it uses less digits than its factorization.

6420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 6420000 is about 2533.7718918640. The cubic root of 6420000 is about 185.8567517704.

Adding to 6420000 its reverse (246), we get a palindrome (6420246).

The spelling of 6420000 in words is "six million, four hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 107 120 125 150 160 200 214 240 250 300 321 375 400 428 480 500 535 600 625 642 750 800 856 1000 1070 1200 1250 1284 1500 1605 1712 1875 2000 2140 2400 2500 2568 2675 3000 3210 3424 3750 4000 4280 5000 5136 5350 6000 6420 7500 8025 8560 10000 10272 10700 12000 12840 13375 15000 16050 17120 20000 21400 25680 26750 30000 32100 40125 42800 51360 53500 60000 64200 66875 80250 85600 107000 128400 133750 160500 200625 214000 256800 267500 321000 401250 428000 535000 642000 802500 1070000 1284000 1605000 2140000 3210000 6420000