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40085400 = 2335266809
BaseRepresentation
bin1001100011101…
…0011110011000
32210102112211110
42120322132120
540230213100
63551100320
7664502025
oct230723630
983375743
1040085400
1120699833
12115116a0
1383c6694
14547654c
1537bc250
hex263a798

40085400 has 48 divisors (see below), whose sum is σ = 124266600. Its totient is φ = 10689280.

The previous prime is 40085399. The next prime is 40085401. The reversal of 40085400 is 458004.

40085400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40085399) and next prime (40085401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40085401) 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, 32805 + ... + 34004.

Almost surely, 240085400 is an apocalyptic number.

40085400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40085400 is an abundant number, since it is smaller than the sum of its proper divisors (84181200).

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

40085400 is a wasteful number, since it uses less digits than its factorization.

40085400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66828 (or 66819 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 40085400 is about 6331.3031833897. The cubic root of 40085400 is about 342.2384029068.

The spelling of 40085400 in words is "forty million, eighty-five 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 66809 133618 200427 267236 334045 400854 534472 668090 801708 1002135 1336180 1603416 1670225 2004270 2672360 3340450 4008540 5010675 6680900 8017080 10021350 13361800 20042700 40085400