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6478020 = 22325172973
BaseRepresentation
bin11000101101100011000100
3110012010011200
4120231203010
53124244040
6350502500
7106030233
oct30554304
913163150
106478020
11372503a
122204a30
13145a763
14c08b1a
1587e630
hex62d8c4

6478020 has 144 divisors (see below), whose sum is σ = 21818160. Its totient is φ = 1548288.

The previous prime is 6478013. The next prime is 6478027. The reversal of 6478020 is 208746.

It is an interprime number because it is at equal distance from previous prime (6478013) and next prime (6478027).

It can be written as a sum of positive squares in 8 ways, for example, as 97344 + 6380676 = 312^2 + 2526^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6478027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88704 + ... + 88776.

It is an arithmetic number, because the mean of its divisors is an integer number (151515).

Almost surely, 26478020 is an apocalyptic number.

6478020 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 6478020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10909080).

6478020 is an abundant number, since it is smaller than the sum of its proper divisors (15340140).

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

6478020 is a wasteful number, since it uses less digits than its factorization.

6478020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 6478020 is about 2545.1954738291. The cubic root of 6478020 is about 186.4149597798.

The spelling of 6478020 in words is "six million, four hundred seventy-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 29 30 34 36 45 51 58 60 68 73 85 87 90 102 116 145 146 153 170 174 180 204 219 255 261 290 292 306 340 348 365 435 438 493 510 522 580 612 657 730 765 870 876 986 1020 1044 1095 1241 1305 1314 1460 1479 1530 1740 1972 2117 2190 2465 2482 2610 2628 2958 3060 3285 3723 4234 4380 4437 4930 4964 5220 5916 6205 6351 6570 7395 7446 8468 8874 9860 10585 11169 12410 12702 13140 14790 14892 17748 18615 19053 21170 22185 22338 24820 25404 29580 31755 35989 37230 38106 42340 44370 44676 55845 63510 71978 74460 76212 88740 95265 107967 111690 127020 143956 179945 190530 215934 223380 323901 359890 381060 431868 539835 647802 719780 1079670 1295604 1619505 2159340 3239010 6478020