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128405480 = 23575191
BaseRepresentation
bin1111010011101…
…00111111101000
322221121200012112
413221310333220
5230332433410
620424101452
73116300000
oct751647750
9287550175
10128405480
1166532a35
1237004888
13207aaa98
14130a7000
15b416105
hex7a74fe8

128405480 has 96 divisors (see below), whose sum is σ = 338826240. Its totient is φ = 43794240.

The previous prime is 128405443. The next prime is 128405489. The reversal of 128405480 is 84504821.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (128405489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 672185 + ... + 672375.

It is an arithmetic number, because the mean of its divisors is an integer number (3529440).

Almost surely, 2128405480 is an apocalyptic number.

128405480 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 128405480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169413120).

128405480 is an abundant number, since it is smaller than the sum of its proper divisors (210420760).

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

128405480 is an frugal number, since it uses more digits than its factorization.

128405480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 128405480 is about 11331.6141833368. The cubic root of 128405480 is about 504.5000181714.

The spelling of 128405480 in words is "one hundred twenty-eight million, four hundred five thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 191 196 245 280 343 382 392 490 686 764 955 980 1337 1372 1528 1715 1910 1960 2401 2674 2744 3430 3820 4802 5348 6685 6860 7640 9359 9604 10696 12005 13370 13720 16807 18718 19208 24010 26740 33614 37436 46795 48020 53480 65513 67228 74872 84035 93590 96040 131026 134456 168070 187180 262052 327565 336140 374360 458591 524104 655130 672280 917182 1310260 1834364 2292955 2620520 3210137 3668728 4585910 6420274 9171820 12840548 16050685 18343640 25681096 32101370 64202740 128405480