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16000272 = 2432234831
BaseRepresentation
bin111101000010…
…010100010000
31010002220020200
4331002110100
513044002042
61330535200
7253000011
oct75022420
933086220
1016000272
119039272
125437500
133412a22
1421a7008
151610c4c
hexf42510

16000272 has 60 divisors (see below), whose sum is σ = 46735104. Its totient is φ = 5100480.

The previous prime is 16000253. The next prime is 16000277. The reversal of 16000272 is 27200061.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (16000277) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 897 + ... + 5727.

Almost surely, 216000272 is an apocalyptic number.

16000272 is a gapful number since it is divisible by the number (12) 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 16000272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23367552).

16000272 is an abundant number, since it is smaller than the sum of its proper divisors (30734832).

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

16000272 is a wasteful number, since it uses less digits than its factorization.

16000272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4868 (or 4859 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 16000272 is about 4000.0339998555. The cubic root of 16000272 is about 251.9856378814.

The spelling of 16000272 in words is "sixteen million, two hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 4831 9662 14493 19324 28986 38648 43479 57972 77296 86958 111113 115944 173916 222226 231888 333339 347832 444452 666678 695664 888904 1000017 1333356 1777808 2000034 2666712 4000068 5333424 8000136 16000272