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128660480 = 2105131933
BaseRepresentation
bin1111010101100…
…11010000000000
322222002121222222
413222303100000
5230414113410
620433350212
73121411304
oct752632000
9288077888
10128660480
1166697583
1237108368
1320869b80
1413131d04
15b466955
hex7ab3400

128660480 has 88 divisors (see below), whose sum is σ = 332547432. Its totient is φ = 47480832.

The previous prime is 128660461. The next prime is 128660491. The reversal of 128660480 is 84066821.

It can be written as a sum of positive squares in 4 ways, for example, as 6071296 + 122589184 = 2464^2 + 11072^2 .

It is a super-2 number, since 2×1286604802 = 33107038227660800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 128660480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65594 + ... + 67526.

Almost surely, 2128660480 is an apocalyptic number.

128660480 is a gapful number since it is divisible by the number (10) 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 128660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166273716).

128660480 is an abundant number, since it is smaller than the sum of its proper divisors (203886952).

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

128660480 is a wasteful number, since it uses less digits than its factorization.

128660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 128660480 is about 11342.8603094634. The cubic root of 128660480 is about 504.8337589595.

The spelling of 128660480 in words is "one hundred twenty-eight million, six hundred sixty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1024 1040 1280 1664 1933 2080 2560 3328 3866 4160 5120 6656 7732 8320 9665 13312 15464 16640 19330 25129 30928 33280 38660 50258 61856 66560 77320 100516 123712 125645 154640 201032 247424 251290 309280 402064 494848 502580 618560 804128 989696 1005160 1237120 1608256 1979392 2010320 2474240 3216512 4020640 4948480 6433024 8041280 9896960 12866048 16082560 25732096 32165120 64330240 128660480