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128694192 = 243112231093
BaseRepresentation
bin1111010101110…
…11011110110000
322222011100020120
413222323132300
5230421203232
620434210240
73121611504
oct752733660
9288140216
10128694192
116670a940
1237123980
132087c313
1413140304
15b47192c
hex7abb7b0

128694192 has 80 divisors (see below), whose sum is σ = 364643328. Its totient is φ = 38787840.

The previous prime is 128694191. The next prime is 128694193. The reversal of 128694192 is 291496821.

It is an interprime number because it is at equal distance from previous prime (128694191) and next prime (128694193).

It is not an unprimeable number, because it can be changed into a prime (128694191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117198 + ... + 118290.

Almost surely, 2128694192 is an apocalyptic number.

128694192 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 128694192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182321664).

128694192 is an abundant number, since it is smaller than the sum of its proper divisors (235949136).

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

128694192 is a wasteful number, since it uses less digits than its factorization.

128694192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1332 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 128694192 is about 11344.3462570569. The cubic root of 128694192 is about 504.8778477878.

The spelling of 128694192 in words is "one hundred twenty-eight million, six hundred ninety-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 223 264 446 528 669 892 1093 1338 1784 2186 2453 2676 3279 3568 4372 4906 5352 6558 7359 8744 9812 10704 12023 13116 14718 17488 19624 24046 26232 29436 36069 39248 48092 52464 58872 72138 96184 117744 144276 192368 243739 288552 487478 577104 731217 974956 1462434 1949912 2681129 2924868 3899824 5362258 5849736 8043387 10724516 11699472 16086774 21449032 32173548 42898064 64347096 128694192