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67768416 = 2532235307
BaseRepresentation
bin1000000101000…
…01000001100000
311201111222210100
410002201001200
5114322042131
610420302400
71452010362
oct402410140
9151458710
1067768416
1135287461
121a841a00
1311069b71
149000d32
155e397e6
hex40a1060

67768416 has 36 divisors (see below), whose sum is σ = 192717252. Its totient is φ = 22589376.

The previous prime is 67768411. The next prime is 67768417. The reversal of 67768416 is 61486776.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67768411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 117366 + ... + 117941.

It is an arithmetic number, because the mean of its divisors is an integer number (5353257).

Almost surely, 267768416 is an apocalyptic number.

It is an amenable number.

67768416 is an abundant number, since it is smaller than the sum of its proper divisors (124948836).

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

67768416 is a wasteful number, since it uses less digits than its factorization.

67768416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235323 (or 235312 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 67768416 is about 8232.1574328969. The cubic root of 67768416 is about 407.7016272956.

The spelling of 67768416 in words is "sixty-seven million, seven hundred sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 235307 470614 705921 941228 1411842 1882456 2117763 2823684 3764912 4235526 5647368 7529824 8471052 11294736 16942104 22589472 33884208 67768416