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427115400 = 23352711859
BaseRepresentation
bin11001011101010…
…100001110001000
31002202200201011220
4121131110032020
51333320143100
6110214322040
713404264255
oct3135241610
91082621156
10427115400
111aa106138
12bb059320
136a64660a
1440a2242c
152776caa0
hex19754388

427115400 has 48 divisors (see below), whose sum is σ = 1324059600. Its totient is φ = 113897280.

The previous prime is 427115389. The next prime is 427115401. The reversal of 427115400 is 4511724.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (427115401) by changing a digit.

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, 355330 + ... + 356529.

It is an arithmetic number, because the mean of its divisors is an integer number (27584575).

Almost surely, 2427115400 is an apocalyptic number.

427115400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427115400 is an abundant number, since it is smaller than the sum of its proper divisors (896944200).

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

427115400 is a wasteful number, since it uses less digits than its factorization.

427115400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711878 (or 711869 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 427115400 is about 20666.7704298470. The cubic root of 427115400 is about 753.0926520314.

The spelling of 427115400 in words is "four hundred twenty-seven million, one hundred fifteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 711859 1423718 2135577 2847436 3559295 4271154 5694872 7118590 8542308 10677885 14237180 17084616 17796475 21355770 28474360 35592950 42711540 53389425 71185900 85423080 106778850 142371800 213557700 427115400