Search a number
-
+
128666400 = 2535253611
BaseRepresentation
bin1111010101101…
…00101100100000
322222002221010020
413222310230200
5230414311100
620433433440
73121434462
oct752645440
9288087106
10128666400
11666a0a75
123710b880
132086c785
1413134132
15b4685a0
hex7ab4b20

128666400 has 72 divisors (see below), whose sum is σ = 418816944. Its totient is φ = 34310400.

The previous prime is 128666371. The next prime is 128666437. The reversal of 128666400 is 4666821.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24406 + ... + 29205.

It is an arithmetic number, because the mean of its divisors is an integer number (5816902).

Almost surely, 2128666400 is an apocalyptic number.

128666400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128666400 is an abundant number, since it is smaller than the sum of its proper divisors (290150544).

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

128666400 is a wasteful number, since it uses less digits than its factorization.

128666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53634 (or 53621 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 128666400 is about 11343.1212635676. The cubic root of 128666400 is about 504.8415017411.

The spelling of 128666400 in words is "one hundred twenty-eight million, six hundred sixty-six thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 53611 107222 160833 214444 268055 321666 428888 536110 643332 804165 857776 1072220 1286664 1340275 1608330 1715552 2144440 2573328 2680550 3216660 4020825 4288880 5146656 5361100 6433320 8041650 8577760 10722200 12866640 16083300 21444400 25733280 32166600 42888800 64333200 128666400