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1064055104 = 2674015923
BaseRepresentation
bin111111011011000…
…011000101000000
32202011012121012022
4333123003011000
54134344230404
6253330221012
735240214320
oct7733030500
92664177168
101064055104
114a66a4392
12258424768
1313c5a6b08
14a1463280
15636358be
hex3f6c3140

1064055104 has 56 divisors (see below), whose sum is σ = 2419551168. Its totient is φ = 454809600.

The previous prime is 1064055077. The next prime is 1064055107. The reversal of 1064055104 is 4015504601.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×10640551042 = 2264426528696901632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064055107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176687 + ... + 182609.

Almost surely, 21064055104 is an apocalyptic number.

1064055104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1064055104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209775584).

1064055104 is an abundant number, since it is smaller than the sum of its proper divisors (1355496064).

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

1064055104 is an equidigital number, since it uses as much as digits as its factorization.

1064055104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6343 (or 6333 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 1064055104 is about 32619.8575104184. The cubic root of 1064055104 is about 1020.9113679460.

Adding to 1064055104 its reverse (4015504601), we get a palindrome (5079559705).

The spelling of 1064055104 in words is "one billion, sixty-four million, fifty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 401 448 802 1604 2807 3208 5614 5923 6416 11228 11846 12832 22456 23692 25664 41461 44912 47384 82922 89824 94768 165844 179648 189536 331688 379072 663376 1326752 2375123 2653504 4750246 9500492 16625861 19000984 33251722 38001968 66503444 76003936 133006888 152007872 266013776 532027552 1064055104