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40320042 = 2372137143
BaseRepresentation
bin1001100111001…
…1110000101010
32210212110200220
42121303300222
540310220132
64000110510
7666500100
oct231636052
983773626
1040320042
112083a054
1211605436
138479419
1454d7c70
153816a2c
hex2673c2a

40320042 has 24 divisors (see below), whose sum is σ = 93806496. Its totient is φ = 11519928.

The previous prime is 40320041. The next prime is 40320043. The reversal of 40320042 is 24002304.

It is a happy number.

40320042 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 (40320041) and next prime (40320043).

It is not an unprimeable number, because it can be changed into a prime (40320041) 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, 68278 + ... + 68865.

It is an arithmetic number, because the mean of its divisors is an integer number (3908604).

Almost surely, 240320042 is an apocalyptic number.

40320042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

40320042 is an abundant number, since it is smaller than the sum of its proper divisors (53486454).

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

40320042 is a wasteful number, since it uses less digits than its factorization.

40320042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137162 (or 137155 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 40320042 is about 6349.8064537433. The cubic root of 40320042 is about 342.9048743566.

Adding to 40320042 its reverse (24002304), we get a palindrome (64322346).

The spelling of 40320042 in words is "forty million, three hundred twenty thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 137143 274286 411429 822858 960001 1920002 2880003 5760006 6720007 13440014 20160021 40320042