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67416741 = 32773107137
BaseRepresentation
bin1000000010010…
…11001010100101
311200212010101100
410001023022211
5114224313431
610404550313
71446014160
oct401131245
9150763340
1067416741
1135067217
121a6b2399
1310c75a82
148d4cad7
155dba4e6
hex404b2a5

67416741 has 48 divisors (see below), whose sum is σ = 114701184. Its totient is φ = 37366272.

The previous prime is 67416737. The next prime is 67416761. The reversal of 67416741 is 14761476.

It is not a de Polignac number, because 67416741 - 22 = 67416737 is a prime.

It is a super-2 number, since 2×674167412 = 9090033934122162, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 67416696 and 67416705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67416761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 492025 + ... + 492161.

It is an arithmetic number, because the mean of its divisors is an integer number (2389608).

Almost surely, 267416741 is an apocalyptic number.

It is an amenable number.

67416741 is a deficient number, since it is larger than the sum of its proper divisors (47284443).

67416741 is a wasteful number, since it uses less digits than its factorization.

67416741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 327 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 67416741 is about 8210.7698177455. The cubic root of 67416741 is about 406.9951664292.

The spelling of 67416741 in words is "sixty-seven million, four hundred sixteen thousand, seven hundred forty-one".

Divisors: 1 3 7 9 21 63 73 107 137 219 321 411 511 657 749 959 963 1233 1533 2247 2877 4599 6741 7811 8631 10001 14659 23433 30003 43977 54677 70007 70299 90009 102613 131931 164031 210021 307839 492093 630063 923517 1070107 3210321 7490749 9630963 22472247 67416741