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67016640 = 263569809
BaseRepresentation
bin1111111110100…
…1011111000000
311200002210112210
43333221133000
5114124013030
610352222120
71442426535
oct377513700
9150083483
1067016640
1134913659
121a53a940
1310b65922
148c86d8c
155d3bbb0
hex3fe97c0

67016640 has 56 divisors (see below), whose sum is σ = 212780880. Its totient is φ = 17870848.

The previous prime is 67016627. The next prime is 67016647. The reversal of 67016640 is 4661076.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 67016598 and 67016607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67016647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33945 + ... + 35864.

Almost surely, 267016640 is an apocalyptic number.

67016640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67016640 is an abundant number, since it is smaller than the sum of its proper divisors (145764240).

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

67016640 is a wasteful number, since it uses less digits than its factorization.

67016640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69829 (or 69819 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 67016640 is about 8186.3691585464. The cubic root of 67016640 is about 406.1884312218.

The spelling of 67016640 in words is "sixty-seven million, sixteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 69809 139618 209427 279236 349045 418854 558472 698090 837708 1047135 1116944 1396180 1675416 2094270 2233888 2792360 3350832 4188540 4467776 5584720 6701664 8377080 11169440 13403328 16754160 22338880 33508320 67016640