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67016420 = 22519315689
BaseRepresentation
bin1111111110100…
…1011011100100
311200002210020122
43333221123210
5114124011140
610352221112
71442426102
oct377513344
9150083218
1067016420
1134913479
121a53a798
1310b657b3
148c86c72
155d3bab5
hex3fe96e4

67016420 has 48 divisors (see below), whose sum is σ = 152947200. Its totient is φ = 24572160.

The previous prime is 67016387. The next prime is 67016437. The reversal of 67016420 is 2461076.

It is a self number, because there is not a number n which added to its sum of digits gives 67016420.

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, 8936 + ... + 14624.

It is an arithmetic number, because the mean of its divisors is an integer number (3186400).

Almost surely, 267016420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67016420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76473600).

67016420 is an abundant number, since it is smaller than the sum of its proper divisors (85930780).

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

67016420 is a wasteful number, since it uses less digits than its factorization.

67016420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5748 (or 5746 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 67016420 is about 8186.3557215650. The cubic root of 67016420 is about 406.1879867473.

Adding to 67016420 its reverse (2461076), we get a palindrome (69477496).

The spelling of 67016420 in words is "sixty-seven million, sixteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 310 380 589 620 1178 2356 2945 5689 5890 11378 11780 22756 28445 56890 108091 113780 176359 216182 352718 432364 540455 705436 881795 1080910 1763590 2161820 3350821 3527180 6701642 13403284 16754105 33508210 67016420