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6005272 = 2371373113
BaseRepresentation
bin10110111010001000011000
3102022002200111
4112322020120
53014132042
6332414104
7102021040
oct26721030
912262614
106005272
113431939
122017334
131323520
14b24720
157d9517
hex5ba218

6005272 has 64 divisors (see below), whose sum is σ = 14172480. Its totient is φ = 2322432.

The previous prime is 6005213. The next prime is 6005287. The reversal of 6005272 is 2725006.

6005272 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53088 + ... + 53200.

It is an arithmetic number, because the mean of its divisors is an integer number (221445).

Almost surely, 26005272 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 6005272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7086240).

6005272 is an abundant number, since it is smaller than the sum of its proper divisors (8167208).

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

6005272 is a wasteful number, since it uses less digits than its factorization.

6005272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 6005272 is about 2450.5656489880. The cubic root of 6005272 is about 181.7652651460.

The spelling of 6005272 in words is "six million, five thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 73 91 104 113 146 182 226 292 364 452 511 584 728 791 904 949 1022 1469 1582 1898 2044 2938 3164 3796 4088 5876 6328 6643 7592 8249 10283 11752 13286 16498 20566 26572 32996 41132 53144 57743 65992 82264 107237 115486 214474 230972 428948 461944 750659 857896 1501318 3002636 6005272