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1068400749 = 31342165071
BaseRepresentation
bin111111101011101…
…000000001101101
32202110101101022010
4333223220001231
54142002310444
6254003311433
735322153663
oct7753500155
92673341263
101068400749
114a90a2329
1225997b579
13140468ac0
14a1c74c33
1563be32b9
hex3fae806d

1068400749 has 16 divisors (see below), whose sum is σ = 1537781504. Its totient is φ = 655905600.

The previous prime is 1068400727. The next prime is 1068400759. The reversal of 1068400749 is 9470048601.

It is a happy number.

It is not a de Polignac number, because 1068400749 - 211 = 1068398701 is a prime.

It is a super-2 number, since 2×10684007492 = 2282960320927522002, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068400759) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16117 + ... + 48954.

It is an arithmetic number, because the mean of its divisors is an integer number (96111344).

Almost surely, 21068400749 is an apocalyptic number.

It is an amenable number.

1068400749 is a deficient number, since it is larger than the sum of its proper divisors (469380755).

1068400749 is a wasteful number, since it uses less digits than its factorization.

1068400749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65508.

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 1068400749 is about 32686.4000617994. The cubic root of 1068400749 is about 1022.2992949401.

The spelling of 1068400749 in words is "one billion, sixty-eight million, four hundred thousand, seven hundred forty-nine".

Divisors: 1 3 13 39 421 1263 5473 16419 65071 195213 845923 2537769 27394891 82184673 356133583 1068400749