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1068332672 = 27113720507
BaseRepresentation
bin111111101011010…
…111011010000000
32202110020220220202
4333223113122000
54141443121142
6254002024332
735321451341
oct7753273200
92673226822
101068332672
114a9056170
122599480a8
13140443b14
14a1c580c8
1563bcd032
hex3fad7680

1068332672 has 64 divisors (see below), whose sum is σ = 2384670240. Its totient is φ = 472458240.

The previous prime is 1068332611. The next prime is 1068332687. The reversal of 1068332672 is 2762338601.

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

It is a super-2 number, since 2×10683326722 = 2282669396125319168, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 41843 + ... + 62349.

Almost surely, 21068332672 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 1068332672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192335120).

1068332672 is an abundant number, since it is smaller than the sum of its proper divisors (1316337568).

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

1068332672 is a wasteful number, since it uses less digits than its factorization.

1068332672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20569 (or 20557 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 1068332672 is about 32685.3586793843. The cubic root of 1068332672 is about 1022.2775813190.

The spelling of 1068332672 in words is "one billion, sixty-eight million, three hundred thirty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 296 352 407 592 704 814 1184 1408 1628 2368 3256 4736 6512 13024 20507 26048 41014 52096 82028 164056 225577 328112 451154 656224 758759 902308 1312448 1517518 1804616 2624896 3035036 3609232 6070072 7218464 8346349 12140144 14436928 16692698 24280288 28873856 33385396 48560576 66770792 97121152 133541584 267083168 534166336 1068332672