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1064219136 = 293692851
BaseRepresentation
bin111111011011101…
…011001000000000
32202011111221012120
4333123223020000
54134420003021
6253333524240
735241466461
oct7733531000
92664457176
101064219136
114a67a6652
122584a3680
1313c633686
14a14a6d68
15636692c6
hex3f6eb200

1064219136 has 40 divisors (see below), whose sum is σ = 2835150384. Its totient is φ = 354739200.

The previous prime is 1064219129. The next prime is 1064219137. The reversal of 1064219136 is 6319124601.

1064219136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10642191362 = 2265124738857172992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1064219097 and 1064219106.

It is not an unprimeable number, because it can be changed into a prime (1064219137) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 344890 + ... + 347961.

Almost surely, 21064219136 is an apocalyptic number.

1064219136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1064219136 is an abundant number, since it is smaller than the sum of its proper divisors (1770931248).

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

1064219136 is an frugal number, since it uses more digits than its factorization.

1064219136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692872 (or 692856 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 1064219136 is about 32622.3717102236. The cubic root of 1064219136 is about 1020.9638256080.

The spelling of 1064219136 in words is "one billion, sixty-four million, two hundred nineteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 692851 1385702 2078553 2771404 4157106 5542808 8314212 11085616 16628424 22171232 33256848 44342464 66513696 88684928 133027392 177369856 266054784 354739712 532109568 1064219136