Search a number
-
+
1084000764 = 2237112234637
BaseRepresentation
bin100000010011100…
…1000100111111100
32210112201221111110
41000213020213330
54210001011024
6255321522020
735601566040
oct10047104774
92715657443
101084000764
11506987900
12263043310
1314376b592
14a3d76020
1565275629
hex409c89fc

1084000764 has 144 divisors (see below), whose sum is σ = 3316207104. Its totient is φ = 269258880.

The previous prime is 1084000747. The next prime is 1084000769. The reversal of 1084000764 is 4670004801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1084000769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231454 + ... + 236090.

It is an arithmetic number, because the mean of its divisors is an integer number (23029216).

Almost surely, 21084000764 is an apocalyptic number.

1084000764 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 1084000764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658103552).

1084000764 is an abundant number, since it is smaller than the sum of its proper divisors (2232206340).

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

1084000764 is a wasteful number, since it uses less digits than its factorization.

1084000764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4696 (or 4683 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1084000764 is about 32924.1668687303. The cubic root of 1084000764 is about 1027.2508976354.

The spelling of 1084000764 in words is "one billion, eighty-four million, seven hundred sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 11 12 14 21 22 23 28 33 42 44 46 66 69 77 84 92 121 132 138 154 161 231 242 253 276 308 322 363 462 483 484 506 644 726 759 847 924 966 1012 1452 1518 1694 1771 1932 2541 2783 3036 3388 3542 4637 5082 5313 5566 7084 8349 9274 10164 10626 11132 13911 16698 18548 19481 21252 27822 32459 33396 38962 51007 55644 58443 64918 77924 97377 102014 106651 116886 129836 153021 194754 204028 213302 233772 306042 319953 357049 389508 426604 561077 612084 639906 714098 746557 1071147 1122154 1173161 1279812 1428196 1493114 1683231 2142294 2239671 2244308 2346322 2986228 3366462 3519483 3927539 4284588 4479342 4692644 6732924 7038966 7855078 8212127 8958684 11782617 12904771 14077932 15710156 16424254 23565234 24636381 25809542 32848508 38714313 47130468 49272762 51619084 77428626 90333397 98545524 154857252 180666794 271000191 361333588 542000382 1084000764