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16132272 = 24313103251
BaseRepresentation
bin111101100010…
…100010110000
31010100121022120
4331202202300
513112213042
61333434240
7254056602
oct75424260
933317276
1016132272
119119462
12549b980
13345ab30
1421dd172
151639dec
hexf628b0

16132272 has 80 divisors (see below), whose sum is σ = 45497088. Its totient is φ = 4896000.

The previous prime is 16132271. The next prime is 16132297. The reversal of 16132272 is 27223161.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16132271) 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 15 ways as a sum of consecutive naturals, for example, 64147 + ... + 64397.

Almost surely, 216132272 is an apocalyptic number.

16132272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 4016×4017.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16132272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22748544).

16132272 is an abundant number, since it is smaller than the sum of its proper divisors (29364816).

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

16132272 is a wasteful number, since it uses less digits than its factorization.

16132272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 372 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 16132272 is about 4016.4999688784. The cubic root of 16132272 is about 252.6766897149.

The spelling of 16132272 in words is "sixteen million, one hundred thirty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 103 104 156 206 208 251 309 312 412 502 618 624 753 824 1004 1236 1339 1506 1648 2008 2472 2678 3012 3263 4016 4017 4944 5356 6024 6526 8034 9789 10712 12048 13052 16068 19578 21424 25853 26104 32136 39156 51706 52208 64272 77559 78312 103412 155118 156624 206824 310236 336089 413648 620472 672178 1008267 1240944 1344356 2016534 2688712 4033068 5377424 8066136 16132272