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128430288 = 243271031237
BaseRepresentation
bin1111010011110…
…11000011010000
322221122221020100
413221323003100
5230334232123
620424412400
73116432220
oct751730320
9287587210
10128430288
116654a638
1237017100
13207b916c
14130b2080
15b41d643
hex7a7b0d0

128430288 has 120 divisors (see below), whose sum is σ = 415096448. Its totient is φ = 36308736.

The previous prime is 128430271. The next prime is 128430307. The reversal of 128430288 is 882034821.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103206 + ... + 104442.

Almost surely, 2128430288 is an apocalyptic number.

128430288 is a gapful number since it is divisible by the number (18) 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 128430288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207548224).

128430288 is an abundant number, since it is smaller than the sum of its proper divisors (286666160).

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

128430288 is a wasteful number, since it uses less digits than its factorization.

128430288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 128430288 is about 11332.7087671042. The cubic root of 128430288 is about 504.5325059607.

The spelling of 128430288 in words is "one hundred twenty-eight million, four hundred thirty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 103 112 126 144 168 206 252 309 336 412 504 618 721 824 927 1008 1236 1237 1442 1648 1854 2163 2472 2474 2884 3708 3711 4326 4944 4948 5768 6489 7416 7422 8652 8659 9896 11133 11536 12978 14832 14844 17304 17318 19792 22266 25956 25977 29688 34608 34636 44532 51912 51954 59376 69272 77931 89064 103824 103908 127411 138544 155862 178128 207816 254822 311724 382233 415632 509644 623448 764466 891877 1019288 1146699 1246896 1528932 1783754 2038576 2293398 2675631 3057864 3567508 4586796 5351262 6115728 7135016 8026893 9173592 10702524 14270032 16053786 18347184 21405048 32107572 42810096 64215144 128430288