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128666772 = 223313113811
BaseRepresentation
bin1111010101101…
…00110010010100
322222002221122000
413222310302110
5230414314042
620433435300
73121435533
oct752646224
9288087560
10128666772
11666a1283
123710bb30
132086c9b0
141313431a
15b46874c
hex7ab4c94

128666772 has 96 divisors (see below), whose sum is σ = 362866560. Its totient is φ = 39191040.

The previous prime is 128666753. The next prime is 128666789. The reversal of 128666772 is 277666821.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158247 + ... + 159057.

It is an arithmetic number, because the mean of its divisors is an integer number (3779860).

Almost surely, 2128666772 is an apocalyptic number.

128666772 is a gapful number since it is divisible by the number (12) 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 128666772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181433280).

128666772 is an abundant number, since it is smaller than the sum of its proper divisors (234199788).

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

128666772 is a wasteful number, since it uses less digits than its factorization.

128666772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 942 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 128666772 is about 11343.1376611588. The cubic root of 128666772 is about 504.8419882729.

The spelling of 128666772 in words is "one hundred twenty-eight million, six hundred sixty-six thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 113 117 156 226 234 339 351 452 468 678 702 811 1017 1356 1404 1469 1622 2034 2433 2938 3051 3244 4068 4407 4866 5876 6102 7299 8814 9732 10543 12204 13221 14598 17628 21086 21897 26442 29196 31629 39663 42172 43794 52884 63258 79326 87588 91643 94887 126516 158652 183286 189774 274929 284661 366572 379548 549858 569322 824787 1099716 1138644 1191359 1649574 2382718 2474361 3299148 3574077 4765436 4948722 7148154 9897444 10722231 14296308 21444462 32166693 42888924 64333386 128666772