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128330460 = 22335673547
BaseRepresentation
bin1111010011000…
…10101011011100
322221110212022000
413221202223130
5230323033320
620422322300
73115535166
oct751425334
9287425260
10128330460
1166491635
1236b89390
13207828ab
1413087936
15b3edc90
hex7a62adc

128330460 has 96 divisors (see below), whose sum is σ = 405323520. Its totient is φ = 33701184.

The previous prime is 128330459. The next prime is 128330473. The reversal of 128330460 is 64033821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 34407 + ... + 37953.

It is an arithmetic number, because the mean of its divisors is an integer number (4222120).

Almost surely, 2128330460 is an apocalyptic number.

128330460 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 128330460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202661760).

128330460 is an abundant number, since it is smaller than the sum of its proper divisors (276993060).

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

128330460 is a wasteful number, since it uses less digits than its factorization.

128330460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3632 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 128330460 is about 11328.3034916972. The cubic root of 128330460 is about 504.4017488336.

The spelling of 128330460 in words is "one hundred twenty-eight million, three hundred thirty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 90 108 134 135 180 201 268 270 335 402 540 603 670 804 1005 1206 1340 1809 2010 2412 3015 3547 3618 4020 6030 7094 7236 9045 10641 12060 14188 17735 18090 21282 31923 35470 36180 42564 53205 63846 70940 95769 106410 127692 159615 191538 212820 237649 319230 383076 475298 478845 638460 712947 950596 957690 1188245 1425894 1915380 2138841 2376490 2851788 3564735 4277682 4752980 6416523 7129470 8555364 10694205 12833046 14258940 21388410 25666092 32082615 42776820 64165230 128330460