Search a number
-
+
1012063712 = 25113837507
BaseRepresentation
bin111100010100101…
…101110111100000
32121112101011102012
4330110231313200
54033042014322
6244232012052
734036254032
oct7424556740
92545334365
101012063712
1147a3134a0
12242b31028
131318a218a
14985abc52
155dcb5ae2
hex3c52dde0

1012063712 has 48 divisors (see below), whose sum is σ = 2179602432. Its totient is φ = 458766720.

The previous prime is 1012063697. The next prime is 1012063729. The reversal of 1012063712 is 2173602101.

It is a super-3 number, since 3×10120637123 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131063 + ... + 138569.

It is an arithmetic number, because the mean of its divisors is an integer number (45408384).

Almost surely, 21012063712 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 1012063712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089801216).

1012063712 is an abundant number, since it is smaller than the sum of its proper divisors (1167538720).

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

1012063712 is a wasteful number, since it uses less digits than its factorization.

1012063712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7911 (or 7903 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 1012063712 is about 31812.9488101936. The cubic root of 1012063712 is about 1004.0051744944.

Adding to 1012063712 its reverse (2173602101), we get a palindrome (3185665813).

The spelling of 1012063712 in words is "one billion, twelve million, sixty-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 383 766 1532 3064 4213 6128 7507 8426 12256 15014 16852 30028 33704 60056 67408 82577 120112 134816 165154 240224 330308 660616 1321232 2642464 2875181 5750362 11500724 23001448 31626991 46002896 63253982 92005792 126507964 253015928 506031856 1012063712