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128823480 = 233351011181
BaseRepresentation
bin1111010110110…
…11000010111000
322222101220121000
413223123002320
5230434322410
620441045000
73122660442
oct753330270
9288356530
10128823480
1166798a95
1237186760
13208c6116
1413175492
15b499dc0
hex7adb0b8

128823480 has 128 divisors (see below), whose sum is σ = 434030400. Its totient is φ = 33984000.

The previous prime is 128823479. The next prime is 128823509. The reversal of 128823480 is 84328821.

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 31 ways as a sum of consecutive naturals, for example, 108490 + ... + 109670.

Almost surely, 2128823480 is an apocalyptic number.

128823480 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 128823480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217015200).

128823480 is an abundant number, since it is smaller than the sum of its proper divisors (305206920).

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

128823480 is a wasteful number, since it uses less digits than its factorization.

128823480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1292 counting only the distinct ones).

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

The square root of 128823480 is about 11350.0431717241. The cubic root of 128823480 is about 505.0468603380.

The spelling of 128823480 in words is "one hundred twenty-eight million, eight hundred twenty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 101 108 120 135 180 202 216 270 303 360 404 505 540 606 808 909 1010 1080 1181 1212 1515 1818 2020 2362 2424 2727 3030 3543 3636 4040 4545 4724 5454 5905 6060 7086 7272 9090 9448 10629 10908 11810 12120 13635 14172 17715 18180 21258 21816 23620 27270 28344 31887 35430 36360 42516 47240 53145 54540 63774 70860 85032 106290 109080 119281 127548 141720 159435 212580 238562 255096 318870 357843 425160 477124 596405 637740 715686 954248 1073529 1192810 1275480 1431372 1789215 2147058 2385620 2862744 3220587 3578430 4294116 4771240 5367645 6441174 7156860 8588232 10735290 12882348 14313720 16102935 21470580 25764696 32205870 42941160 64411740 128823480