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67040040 = 23354211327
BaseRepresentation
bin1111111110111…
…1001100101000
311200010222122110
43333233030220
5114130240130
610352522320
71442555004
oct377571450
9150128573
1067040040
113492a1a1
121a5503a0
1310b73482
148c91704
155d43ab0
hex3fef328

67040040 has 64 divisors (see below), whose sum is σ = 201749760. Its totient is φ = 17821440.

The previous prime is 67040023. The next prime is 67040059. The reversal of 67040040 is 4004076.

It is a junction number, because it is equal to n+sod(n) for n = 67039989 and 67040016.

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 15 ways as a sum of consecutive naturals, for example, 49857 + ... + 51183.

It is an arithmetic number, because the mean of its divisors is an integer number (3152340).

Almost surely, 267040040 is an apocalyptic number.

67040040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67040040 is an abundant number, since it is smaller than the sum of its proper divisors (134709720).

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

67040040 is a wasteful number, since it uses less digits than its factorization.

67040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 67040040 is about 8187.7982388430. The cubic root of 67040040 is about 406.2357015875.

The spelling of 67040040 in words is "sixty-seven million, forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 421 842 1263 1327 1684 2105 2526 2654 3368 3981 4210 5052 5308 6315 6635 7962 8420 10104 10616 12630 13270 15924 16840 19905 25260 26540 31848 39810 50520 53080 79620 159240 558667 1117334 1676001 2234668 2793335 3352002 4469336 5586670 6704004 8380005 11173340 13408008 16760010 22346680 33520020 67040040