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6406620 = 22351117571
BaseRepresentation
bin11000011100000111011100
3110001111020020
4120130013130
53120002440
6345152140
7105312123
oct30340734
913044206
106406620
113686430
12218b650
1314340cc
14bcaaba
158683d0
hex61c1dc

6406620 has 96 divisors (see below), whose sum is σ = 20756736. Its totient is φ = 1459200.

The previous prime is 6406601. The next prime is 6406639. The reversal of 6406620 is 266046.

It is an interprime number because it is at equal distance from previous prime (6406601) and next prime (6406639).

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 31 ways as a sum of consecutive naturals, for example, 10935 + ... + 11505.

It is an arithmetic number, because the mean of its divisors is an integer number (216216).

Almost surely, 26406620 is an apocalyptic number.

6406620 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 6406620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10378368).

6406620 is an abundant number, since it is smaller than the sum of its proper divisors (14350116).

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

6406620 is a wasteful number, since it uses less digits than its factorization.

6406620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 6406620 is about 2531.1301823494. The cubic root of 6406620 is about 185.7275465313.

It can be divided in two parts, 640 and 6620, that added together give a triangular number (7260 = T120).

The spelling of 6406620 in words is "six million, four hundred six thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 571 660 748 935 1020 1122 1142 1713 1870 2244 2284 2805 2855 3426 3740 5610 5710 6281 6852 8565 9707 11220 11420 12562 17130 18843 19414 25124 29121 31405 34260 37686 38828 48535 58242 62810 75372 94215 97070 106777 116484 125620 145605 188430 194140 213554 291210 320331 376860 427108 533885 582420 640662 1067770 1281324 1601655 2135540 3203310 6406620