Search a number
-
+
1025053512 = 233723311853
BaseRepresentation
bin111101000110010…
…001001101001000
32122102211010001220
4331012101031020
54044403203022
6245414242040
734254545130
oct7506211510
92572733056
101025053512
1148668596a
12247356320
1313449c852
149a1cdac0
155eece85c
hex3d191348

1025053512 has 128 divisors (see below), whose sum is σ = 3069480960. Its totient is φ = 278910720.

The previous prime is 1025053501. The next prime is 1025053529. The reversal of 1025053512 is 2153505201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1201278 + ... + 1202130.

It is an arithmetic number, because the mean of its divisors is an integer number (23980320).

Almost surely, 21025053512 is an apocalyptic number.

1025053512 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 1025053512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534740480).

1025053512 is an abundant number, since it is smaller than the sum of its proper divisors (2044427448).

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

1025053512 is a wasteful number, since it uses less digits than its factorization.

1025053512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 1025053512 is about 32016.4568932916. The cubic root of 1025053512 is about 1008.2823834071.

Adding to 1025053512 its reverse (2153505201), we get a palindrome (3178558713).

The spelling of 1025053512 in words is "one billion, twenty-five million, fifty-three thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 311 322 483 552 622 644 853 933 966 1244 1288 1706 1866 1932 2177 2488 2559 3412 3732 3864 4354 5118 5971 6531 6824 7153 7464 8708 10236 11942 13062 14306 17416 17913 19619 20472 21459 23884 26124 28612 35826 39238 42918 47768 50071 52248 57224 58857 71652 78476 85836 100142 117714 137333 143304 150213 156952 171672 200284 235428 265283 274666 300426 400568 411999 470856 530566 549332 600852 795849 823998 1061132 1098664 1201704 1591698 1647996 1856981 2122264 3183396 3295992 3713962 5570943 6101509 6366792 7427924 11141886 12203018 14855848 18304527 22283772 24406036 36609054 42710563 44567544 48812072 73218108 85421126 128131689 146436216 170842252 256263378 341684504 512526756 1025053512