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4140080 = 24577393
BaseRepresentation
bin1111110010110000110000
321210100010022
433302300300
52024440310
6224423012
750122130
oct17626060
97710108
104140080
11237855a
121477a68
13b1c569
1479aac0
1556ba55
hex3f2c30

4140080 has 40 divisors (see below), whose sum is σ = 11002272. Its totient is φ = 1419264.

The previous prime is 4140079. The next prime is 4140107. The reversal of 4140080 is 800414.

It is a happy number.

4140080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3137 + ... + 4256.

Almost surely, 24140080 is an apocalyptic number.

4140080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4140080 is an abundant number, since it is smaller than the sum of its proper divisors (6862192).

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

4140080 is a wasteful number, since it uses less digits than its factorization.

4140080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7413 (or 7407 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 4140080 is about 2034.7186537701. The cubic root of 4140080 is about 160.5719116294.

Adding to 4140080 its reverse (800414), we get a palindrome (4940494).

The spelling of 4140080 in words is "four million, one hundred forty thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 7393 14786 29572 36965 51751 59144 73930 103502 118288 147860 207004 258755 295720 414008 517510 591440 828016 1035020 2070040 4140080