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128077830 = 23251797863
BaseRepresentation
bin1111010001001…
…01000000000110
322221000000202100
413220211000012
5230241442310
620413052530
73113433516
oct750450006
9287000670
10128077830
1166329851
1236a87146
13206c48ca
141301d846
15b39dec0
hex7a25006

128077830 has 96 divisors (see below), whose sum is σ = 356638464. Its totient is φ = 31776768.

The previous prime is 128077801. The next prime is 128077837. The reversal of 128077830 is 38770821.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128077837) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147979 + ... + 148841.

It is an arithmetic number, because the mean of its divisors is an integer number (3714984).

Almost surely, 2128077830 is an apocalyptic number.

128077830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 128077830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178319232).

128077830 is an abundant number, since it is smaller than the sum of its proper divisors (228560634).

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

128077830 is a wasteful number, since it uses less digits than its factorization.

128077830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 128077830 is about 11317.1476088279. The cubic root of 128077830 is about 504.0705447361.

The spelling of 128077830 in words is "one hundred twenty-eight million, seventy-seven thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 97 102 153 170 194 255 291 306 485 510 582 765 863 873 970 1455 1530 1649 1726 1746 2589 2910 3298 4315 4365 4947 5178 7767 8245 8630 8730 9894 12945 14671 14841 15534 16490 24735 25890 29342 29682 38835 44013 49470 73355 74205 77670 83711 88026 132039 146710 148410 167422 220065 251133 264078 418555 440130 502266 660195 753399 837110 1255665 1320390 1423087 1506798 2511330 2846174 3766995 4269261 7115435 7533990 8538522 12807783 14230870 21346305 25615566 42692610 64038915 128077830