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1074533130 = 2325115320479
BaseRepresentation
bin100000000001100…
…0001001100001010
32202212220221100100
41000003001030022
54200040030010
6254342550230
735425244436
oct10003011412
92685827310
101074533130
11501600710
1225ba38376
13141805128
14a29cd9c6
15645052c0
hex400c130a

1074533130 has 96 divisors (see below), whose sum is σ = 3105423360. Its totient is φ = 255565440.

The previous prime is 1074533123. The next prime is 1074533153. The reversal of 1074533130 is 313354701.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1074533094 and 1074533103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42231 + ... + 62709.

It is an arithmetic number, because the mean of its divisors is an integer number (32348160).

Almost surely, 21074533130 is an apocalyptic number.

1074533130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1074533130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552711680).

1074533130 is an abundant number, since it is smaller than the sum of its proper divisors (2030890230).

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

1074533130 is a wasteful number, since it uses less digits than its factorization.

1074533130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20556 (or 20553 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 1074533130 is about 32780.0721475716. The cubic root of 1074533130 is about 1024.2514876341.

Adding to 1074533130 its reverse (313354701), we get a palindrome (1387887831).

The spelling of 1074533130 in words is "one billion, seventy-four million, five hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 53 55 66 90 99 106 110 159 165 198 265 318 330 477 495 530 583 795 954 990 1166 1590 1749 2385 2915 3498 4770 5247 5830 8745 10494 17490 20479 26235 40958 52470 61437 102395 122874 184311 204790 225269 307185 368622 450538 614370 675807 921555 1085387 1126345 1351614 1843110 2027421 2170774 2252690 3256161 3379035 4054842 5426935 6512322 6758070 9768483 10137105 10853870 11939257 16280805 19536966 20274210 23878514 32561610 35817771 48842415 59696285 71635542 97684830 107453313 119392570 179088855 214906626 358177710 537266565 1074533130