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67012416 = 2632116341
BaseRepresentation
bin1111111110100…
…0011101000000
311200002120202100
43333220131000
5114123344131
610352150400
71442411322
oct377503500
9150076670
1067012416
1134910469
121a538400
1310b63a23
148c85612
155d3a7e6
hex3fe8740

67012416 has 42 divisors (see below), whose sum is σ = 192080642. Its totient is φ = 22337280.

The previous prime is 67012399. The next prime is 67012469. The reversal of 67012416 is 61421076.

It can be written as a sum of positive squares in only one way, i.e., 62346816 + 4665600 = 7896^2 + 2160^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 67012416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57595 + ... + 58746.

Almost surely, 267012416 is an apocalyptic number.

It is an amenable number.

67012416 is an abundant number, since it is smaller than the sum of its proper divisors (125068226).

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

67012416 is a wasteful number, since it uses less digits than its factorization.

67012416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116359 (or 116346 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 67012416 is about 8186.1111646495. Note that the first 4 decimals coincide. The cubic root of 67012416 is about 406.1798971423.

The spelling of 67012416 in words is "sixty-seven million, twelve thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 116341 232682 349023 465364 698046 930728 1047069 1396092 1861456 2094138 2792184 3722912 4188276 5584368 7445824 8376552 11168736 16753104 22337472 33506208 67012416