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128401340 = 225174161151
BaseRepresentation
bin1111010011100…
…11111110111100
322221121110112012
413221303332330
5230332320330
620424030352
73116251634
oct751637674
9287543465
10128401340
116652a911
12370023b8
13207a8c32
14130a56c4
15b414c95
hex7a73fbc

128401340 has 96 divisors (see below), whose sum is σ = 299230848. Its totient is φ = 46080000.

The previous prime is 128401337. The next prime is 128401363. The reversal of 128401340 is 43104821.

It is a super-2 number, since 2×1284013402 = 32973808227591200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 850265 + ... + 850415.

It is an arithmetic number, because the mean of its divisors is an integer number (3116988).

Almost surely, 2128401340 is an apocalyptic number.

128401340 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 128401340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149615424).

128401340 is an abundant number, since it is smaller than the sum of its proper divisors (170829508).

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

128401340 is a wasteful number, since it uses less digits than its factorization.

128401340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 128401340 is about 11331.4315070957. The cubic root of 128401340 is about 504.4945961481.

The spelling of 128401340 in words is "one hundred twenty-eight million, four hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 41 61 68 82 85 122 151 164 170 205 244 302 305 340 410 604 610 697 755 820 1037 1220 1394 1510 2074 2501 2567 2788 3020 3485 4148 5002 5134 5185 6191 6970 9211 10004 10268 10370 12382 12505 12835 13940 18422 20740 24764 25010 25670 30955 36844 42517 46055 50020 51340 61910 85034 92110 105247 123820 156587 170068 184220 210494 212585 313174 377651 420988 425170 526235 626348 755302 782935 850340 1052470 1510604 1565870 1888255 2104940 3131740 3776510 6420067 7553020 12840134 25680268 32100335 64200670 128401340