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128874096 = 243213431601
BaseRepresentation
bin1111010111001…
…11011001110000
322222111111000200
413223213121300
5230442432341
620442115200
73123261141
oct753473160
9288444020
10128874096
116682301a
12371abb00
1320913180
1413189ac8
15b4a9db6
hex7ae7670

128874096 has 120 divisors (see below), whose sum is σ = 397693296. Its totient is φ = 38707200.

The previous prime is 128874091. The next prime is 128874107. The reversal of 128874096 is 690478821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128874091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79696 + ... + 81296.

Almost surely, 2128874096 is an apocalyptic number.

128874096 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 128874096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198846648).

128874096 is an abundant number, since it is smaller than the sum of its proper divisors (268819200).

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

128874096 is a wasteful number, since it uses less digits than its factorization.

128874096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 128874096 is about 11352.2727239967. The cubic root of 128874096 is about 505.1129976203.

The spelling of 128874096 in words is "one hundred twenty-eight million, eight hundred seventy-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 43 48 52 72 78 86 104 117 129 144 156 172 208 234 258 312 344 387 468 516 559 624 688 774 936 1032 1118 1548 1601 1677 1872 2064 2236 3096 3202 3354 4472 4803 5031 6192 6404 6708 8944 9606 10062 12808 13416 14409 19212 20124 20813 25616 26832 28818 38424 40248 41626 57636 62439 68843 76848 80496 83252 115272 124878 137686 166504 187317 206529 230544 249756 275372 333008 374634 413058 499512 550744 619587 749268 826116 894959 999024 1101488 1239174 1498536 1652232 1789918 2478348 2684877 2997072 3304464 3579836 4956696 5369754 7159672 8054631 9913392 10739508 14319344 16109262 21479016 32218524 42958032 64437048 128874096