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1064207232 = 273211137613
BaseRepresentation
bin111111011011101…
…000001110000000
32202011111022212200
4333123220032000
54134414112412
6253333353200
735241416664
oct7733501600
92664438780
101064207232
114a6798710
12258498800
1313c62b12a
14a14a28a4
15636659dc
hex3f6e8380

1064207232 has 192 divisors, whose sum is σ = 3370638960. Its totient is φ = 319610880.

The previous prime is 1064207231. The next prime is 1064207257. The reversal of 1064207232 is 2327024601.

1064207232 is a `hidden beast` number, since 1 + 0 + 6 + 420 + 7 + 232 = 666.

1064207232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10642072322 = 2265074065282203648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1064207196 and 1064207205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064207231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1735758 + ... + 1736370.

Almost surely, 21064207232 is an apocalyptic number.

1064207232 is a gapful number since it is divisible by the number (12) 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 1064207232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685319480).

1064207232 is an abundant number, since it is smaller than the sum of its proper divisors (2306431728).

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

1064207232 is a wasteful number, since it uses less digits than its factorization.

1064207232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1064207232 is about 32622.1892582334. The cubic root of 1064207232 is about 1020.9600188736.

The spelling of 1064207232 in words is "one billion, sixty-four million, two hundred seven thousand, two hundred thirty-two".