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6630272 = 271117277
BaseRepresentation
bin11001010010101110000000
3110110212000122
4121102232000
53144132042
6354035412
7110233145
oct31225600
913425018
106630272
113819470
122278b68
1314b1b4c
14c483cc
158ae7d2
hex652b80

6630272 has 64 divisors (see below), whose sum is σ = 15312240. Its totient is φ = 2826240.

The previous prime is 6630269. The next prime is 6630277. The reversal of 6630272 is 2720366.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6630277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23798 + ... + 24074.

Almost surely, 26630272 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 6630272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7656120).

6630272 is an abundant number, since it is smaller than the sum of its proper divisors (8681968).

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

6630272 is a wasteful number, since it uses less digits than its factorization.

6630272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 6630272 is about 2574.9314553984. The cubic root of 6630272 is about 187.8640937183.

The spelling of 6630272 in words is "six million, six hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 272 277 352 374 544 554 704 748 1088 1108 1408 1496 2176 2216 2992 3047 4432 4709 5984 6094 8864 9418 11968 12188 17728 18836 23936 24376 35456 37672 48752 51799 75344 97504 103598 150688 195008 207196 301376 390016 414392 602752 828784 1657568 3315136 6630272