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6440000 = 2654723
BaseRepresentation
bin11000100100010001000000
3110010012000112
4120210101000
53122040000
6350010452
7105511340
oct30442100
913105015
106440000
1136a9516
1221a6a28
131446368
14bd8d20
15873235
hex624440

6440000 has 140 divisors (see below), whose sum is σ = 19043904. Its totient is φ = 2112000.

The previous prime is 6439997. The next prime is 6440003. The reversal of 6440000 is 446.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6439997) and next prime (6440003).

It is a tau number, because it is divible by the number of its divisors (140).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6440003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 279989 + ... + 280011.

Almost surely, 26440000 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 6440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9521952).

6440000 is an abundant number, since it is smaller than the sum of its proper divisors (12603904).

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

6440000 is an equidigital number, since it uses as much as digits as its factorization.

6440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 6440000 is about 2537.7155080899. The cubic root of 6440000 is about 186.0495493690.

Adding to 6440000 its reverse (446), we get a palindrome (6440446).

It can be divided in two parts, 64 and 40000, that multiplied together give a 4-th power (2560000 = 404).

The spelling of 6440000 in words is "six million, four hundred forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 25 28 32 35 40 46 50 56 64 70 80 92 100 112 115 125 140 160 161 175 184 200 224 230 250 280 320 322 350 368 400 448 460 500 560 575 625 644 700 736 800 805 875 920 1000 1120 1150 1250 1288 1400 1472 1600 1610 1750 1840 2000 2240 2300 2500 2576 2800 2875 3220 3500 3680 4000 4025 4375 4600 5000 5152 5600 5750 6440 7000 7360 8000 8050 8750 9200 10000 10304 11200 11500 12880 14000 14375 16100 17500 18400 20000 20125 23000 25760 28000 28750 32200 35000 36800 40000 40250 46000 51520 56000 57500 64400 70000 80500 92000 100625 115000 128800 140000 161000 184000 201250 230000 257600 280000 322000 402500 460000 644000 805000 920000 1288000 1610000 3220000 6440000