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40230900 = 22325244701
BaseRepresentation
bin1001100101110…
…1111111110100
32210200221102100
42121131333310
540244342100
63554142100
7665646153
oct231357764
983627370
1040230900
1120789086
1211581930
138447988
1454b359a
1537ea400
hex265dff4

40230900 has 54 divisors (see below), whose sum is σ = 126104342. Its totient is φ = 10728000.

The previous prime is 40230893. The next prime is 40230913. The reversal of 40230900 is 903204.

It can be written as a sum of positive squares in 3 ways, for example, as 767376 + 39463524 = 876^2 + 6282^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 21451 + ... + 23250.

Almost surely, 240230900 is an apocalyptic number.

It is an amenable number.

40230900 is an abundant number, since it is smaller than the sum of its proper divisors (85873442).

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

40230900 is a wasteful number, since it uses less digits than its factorization.

40230900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44721 (or 44711 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 40230900 is about 6342.7833007285. The cubic root of 40230900 is about 342.6519829150.

The spelling of 40230900 in words is "forty million, two hundred thirty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 44701 89402 134103 178804 223505 268206 402309 447010 536412 670515 804618 894020 1117525 1341030 1609236 2011545 2235050 2682060 3352575 4023090 4470100 6705150 8046180 10057725 13410300 20115450 40230900