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128780712 = 23331722063
BaseRepresentation
bin1111010110100…
…00100110101000
322222022201221000
413223100212220
5230431440322
620440115000
73122421654
oct753204650
9288281830
10128780712
1166769945
1237165a60
13208ac808
1413163a64
15b48c3ac
hex7ad09a8

128780712 has 96 divisors (see below), whose sum is σ = 380188800. Its totient is φ = 40382208.

The previous prime is 128780711. The next prime is 128780737. The reversal of 128780712 is 217087821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128780711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61393 + ... + 63455.

It is an arithmetic number, because the mean of its divisors is an integer number (3960300).

Almost surely, 2128780712 is an apocalyptic number.

128780712 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 128780712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190094400).

128780712 is an abundant number, since it is smaller than the sum of its proper divisors (251408088).

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

128780712 is a wasteful number, since it uses less digits than its factorization.

128780712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 128780712 is about 11348.1589696303. The cubic root of 128780712 is about 504.9909641229.

The spelling of 128780712 in words is "one hundred twenty-eight million, seven hundred eighty thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 289 306 408 459 578 612 867 918 1156 1224 1734 1836 2063 2312 2601 3468 3672 4126 5202 6189 6936 7803 8252 10404 12378 15606 16504 18567 20808 24756 31212 35071 37134 49512 55701 62424 70142 74268 105213 111402 140284 148536 210426 222804 280568 315639 420852 445608 596207 631278 841704 946917 1192414 1262556 1788621 1893834 2384828 2525112 3577242 3787668 4769656 5365863 7154484 7575336 10731726 14308968 16097589 21463452 32195178 42926904 64390356 128780712