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67076096 = 2152389
BaseRepresentation
bin1111111111100…
…0000000000000
311200012211002212
43333320000000
5114132413341
610353401252
71443065063
oct377700000
9150184085
1067076096
113495429a
121a569228
1310b869c9
148ca08da
155d4e5eb
hex3ff8000

67076096 has 64 divisors (see below), whose sum is σ = 141555600. Its totient is φ = 31719424.

The previous prime is 67076077. The next prime is 67076117. The reversal of 67076096 is 69067076.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 2 and base 4.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 753620 + ... + 753708.

Almost surely, 267076096 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 67076096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70777800).

67076096 is an abundant number, since it is smaller than the sum of its proper divisors (74479504).

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

67076096 is an frugal number, since it uses more digits than its factorization.

67076096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 41.

The square root of 67076096 is about 8189.9997557998. Note that the first 3 decimals coincide. The cubic root of 67076096 is about 406.3085168252.

The spelling of 67076096 in words is "sixty-seven million, seventy-six thousand, ninety-six".

Divisors: 1 2 4 8 16 23 32 46 64 89 92 128 178 184 256 356 368 512 712 736 1024 1424 1472 2047 2048 2848 2944 4094 4096 5696 5888 8188 8192 11392 11776 16376 16384 22784 23552 32752 32768 45568 47104 65504 91136 94208 131008 182272 188416 262016 364544 376832 524032 729088 753664 1048064 1458176 2096128 2916352 4192256 8384512 16769024 33538048 67076096