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128837968 = 24717157431
BaseRepresentation
bin1111010110111…
…10100101010000
322222102122110121
413223132211100
5230440303333
620441240024
73123050620
oct753364520
9288378417
10128837968
11667a8966
1237193014
13208cc8ac
141317a880
15b49e32d
hex7ade950

128837968 has 80 divisors (see below), whose sum is σ = 304694784. Its totient is φ = 51517440.

The previous prime is 128837957. The next prime is 128838023. The reversal of 128837968 is 869738821.

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, 298713 + ... + 299143.

Almost surely, 2128837968 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 128837968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152347392).

128837968 is an abundant number, since it is smaller than the sum of its proper divisors (175856816).

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

128837968 is a wasteful number, since it uses less digits than its factorization.

128837968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 614 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 52.

The square root of 128837968 is about 11350.6813892383. The cubic root of 128837968 is about 505.0657928200.

The spelling of 128837968 in words is "one hundred twenty-eight million, eight hundred thirty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 157 238 272 314 431 476 628 862 952 1099 1256 1724 1904 2198 2512 2669 3017 3448 4396 5338 6034 6896 7327 8792 10676 12068 14654 17584 18683 21352 24136 29308 37366 42704 48272 51289 58616 67667 74732 102578 117232 135334 149464 205156 270668 298928 410312 473669 541336 820624 947338 1082672 1150339 1894676 2300678 3789352 4601356 7578704 8052373 9202712 16104746 18405424 32209492 64418984 128837968