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128769480 = 23335717033
BaseRepresentation
bin1111010110011…
…01110111001000
322222022011112000
413223031313020
5230431110410
620435551000
73122344140
oct753156710
9288264460
10128769480
1166761464
123715b460
13208a7678
141315d920
15b488dc0
hex7acddc8

128769480 has 128 divisors (see below), whose sum is σ = 490579200. Its totient is φ = 29431296.

The previous prime is 128769469. The next prime is 128769481. The reversal of 128769480 is 84967821.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128769481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 957 + ... + 16076.

It is an arithmetic number, because the mean of its divisors is an integer number (3832650).

Almost surely, 2128769480 is an apocalyptic number.

128769480 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 128769480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245289600).

128769480 is an abundant number, since it is smaller than the sum of its proper divisors (361809720).

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

128769480 is a wasteful number, since it uses less digits than its factorization.

128769480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17060 (or 17050 counting only the distinct ones).

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

The square root of 128769480 is about 11347.6640768045. The cubic root of 128769480 is about 504.9762822570.

The spelling of 128769480 in words is "one hundred twenty-eight million, seven hundred sixty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 17033 34066 51099 68132 85165 102198 119231 136264 153297 170330 204396 238462 255495 306594 340660 357693 408792 459891 476924 510990 596155 613188 681320 715386 766485 919782 953848 1021980 1073079 1192310 1226376 1430772 1532970 1788465 1839564 2043960 2146158 2299455 2384620 2861544 3065940 3219237 3576930 3679128 4292316 4598910 4769240 5365395 6131880 6438474 7153860 8584632 9197820 10730790 12876948 14307720 16096185 18395640 21461580 25753896 32192370 42923160 64384740 128769480