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128606296 = 237132107127
BaseRepresentation
bin1111010101001…
…10000001011000
322221222212200011
413222212001120
5230410400141
620432251304
73121064320
oct752460130
9287885604
10128606296
116665a8a5
12370a0b34
132084b300
141311a280
15b455881
hex7aa6058

128606296 has 96 divisors (see below), whose sum is σ = 303575040. Its totient is φ = 50004864.

The previous prime is 128606293. The next prime is 128606323. The reversal of 128606296 is 692606821.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128606293) 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, 1012585 + ... + 1012711.

It is an arithmetic number, because the mean of its divisors is an integer number (3162240).

Almost surely, 2128606296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128606296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151787520).

128606296 is an abundant number, since it is smaller than the sum of its proper divisors (174968744).

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

128606296 is a wasteful number, since it uses less digits than its factorization.

128606296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 128606296 is about 11340.4715951322. The cubic root of 128606296 is about 504.7628805431.

The spelling of 128606296 in words is "one hundred twenty-eight million, six hundred six thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 107 127 169 182 214 254 338 364 428 508 676 728 749 856 889 1016 1183 1352 1391 1498 1651 1778 2366 2782 2996 3302 3556 4732 5564 5992 6604 7112 9464 9737 11128 11557 13208 13589 18083 19474 21463 23114 27178 36166 38948 42926 46228 54356 72332 77896 85852 92456 95123 108712 126581 144664 150241 171704 176657 190246 253162 300482 353314 380492 506324 600964 706628 760984 1012648 1201928 1236599 1413256 2296541 2473198 4593082 4946396 9186164 9892792 16075787 18372328 32151574 64303148 128606296