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128235216 = 24317295419
BaseRepresentation
bin1111010010010…
…11011011010000
322221022000122110
413221023123100
5230312011331
620420305320
73114660414
oct751133320
9287260573
10128235216
116642701a
1236b42240
132074b435
1413060d44
15b3d0946
hex7a4b6d0

128235216 has 80 divisors (see below), whose sum is σ = 362923200. Its totient is φ = 38836224.

The previous prime is 128235209. The next prime is 128235221. The reversal of 128235216 is 612532821.

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, 20955 + ... + 26373.

It is an arithmetic number, because the mean of its divisors is an integer number (4536540).

Almost surely, 2128235216 is an apocalyptic number.

128235216 is a gapful number since it is divisible by the number (16) 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 128235216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181461600).

128235216 is an abundant number, since it is smaller than the sum of its proper divisors (234687984).

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

128235216 is a wasteful number, since it uses less digits than its factorization.

128235216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5476 (or 5470 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 128235216 is about 11324.0989045487. The cubic root of 128235216 is about 504.2769327140.

The spelling of 128235216 in words is "one hundred twenty-eight million, two hundred thirty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 34 48 51 58 68 87 102 116 136 174 204 232 272 348 408 464 493 696 816 986 1392 1479 1972 2958 3944 5419 5916 7888 10838 11832 16257 21676 23664 32514 43352 65028 86704 92123 130056 157151 184246 260112 276369 314302 368492 471453 552738 628604 736984 942906 1105476 1257208 1473968 1885812 2210952 2514416 2671567 3771624 4421904 5343134 7543248 8014701 10686268 16029402 21372536 32058804 42745072 64117608 128235216