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6430272 = 263107313
BaseRepresentation
bin11000100001111001000000
3110002200200020
4120201321000
53121232042
6345453440
7105441102
oct30417100
913080606
106430272
1136a2182
1221a1280
131441ac4
14bd5572
158703ec
hex621e40

6430272 has 56 divisors (see below), whose sum is σ = 17227296. Its totient is φ = 2116608.

The previous prime is 6430261. The next prime is 6430283. The reversal of 6430272 is 2720346.

It is an interprime number because it is at equal distance from previous prime (6430261) and next prime (6430283).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 66 + 411 + 310 + 0 + 215 + 73 + 221 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20388 + ... + 20700.

Almost surely, 26430272 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 6430272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8613648).

6430272 is an abundant number, since it is smaller than the sum of its proper divisors (10797024).

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

6430272 is a wasteful number, since it uses less digits than its factorization.

6430272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 6430272 is about 2535.7980992185. The cubic root of 6430272 is about 185.9558225524.

The spelling of 6430272 in words is "six million, four hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 192 214 313 321 428 626 642 856 939 1252 1284 1712 1878 2504 2568 3424 3756 5008 5136 6848 7512 10016 10272 15024 20032 20544 30048 33491 60096 66982 100473 133964 200946 267928 401892 535856 803784 1071712 1607568 2143424 3215136 6430272