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16002272 = 2511132269
BaseRepresentation
bin111101000010…
…110011100000
31010002222222202
4331002303200
513044033042
61330552332
7253005566
oct75026340
933088882
1016002272
11903a820
1254386a8
133413900
1421a7a36
151611632
hexf42ce0

16002272 has 72 divisors (see below), whose sum is σ = 37353960. Its totient is φ = 6689280.

The previous prime is 16002271. The next prime is 16002277. The reversal of 16002272 is 27220061.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16002271) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 59354 + ... + 59622.

It is an arithmetic number, because the mean of its divisors is an integer number (518805).

Almost surely, 216002272 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 16002272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18676980).

16002272 is an abundant number, since it is smaller than the sum of its proper divisors (21351688).

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

16002272 is a wasteful number, since it uses less digits than its factorization.

16002272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 16002272 is about 4000.2839899187. The cubic root of 16002272 is about 251.9961366671.

The spelling of 16002272 in words is "sixteen million, two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 169 176 208 269 286 338 352 416 538 572 676 1076 1144 1352 1859 2152 2288 2704 2959 3497 3718 4304 4576 5408 5918 6994 7436 8608 11836 13988 14872 23672 27976 29744 38467 45461 47344 55952 59488 76934 90922 94688 111904 153868 181844 307736 363688 500071 615472 727376 1000142 1230944 1454752 2000284 4000568 8001136 16002272