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67385040 = 2435280771
BaseRepresentation
bin1000000010000…
…11011011010000
311200210111220020
410001003123100
5114222310130
610404143440
71445522562
oct401033320
9150714806
1067385040
1135045418
121a697b80
1310c64508
148d41332
155db0e10
hex40436d0

67385040 has 40 divisors (see below), whose sum is σ = 208894368. Its totient is φ = 17969280.

The previous prime is 67385023. The next prime is 67385051. The reversal of 67385040 is 4058376.

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

It is a junction number, because it is equal to n+sod(n) for n = 67384992 and 67385010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140146 + ... + 140625.

Almost surely, 267385040 is an apocalyptic number.

67385040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67385040 is an abundant number, since it is smaller than the sum of its proper divisors (141509328).

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

67385040 is a wasteful number, since it uses less digits than its factorization.

67385040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280787 (or 280781 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 67385040 is about 8208.8391383922. The cubic root of 67385040 is about 406.9313634014.

The spelling of 67385040 in words is "sixty-seven million, three hundred eighty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 280771 561542 842313 1123084 1403855 1684626 2246168 2807710 3369252 4211565 4492336 5615420 6738504 8423130 11230840 13477008 16846260 22461680 33692520 67385040