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1074365136 = 2432131274519
BaseRepresentation
bin100000000001001…
…1000001011010000
32202212121101220100
41000002120023100
54200014141021
6254335212400
735423644605
oct10002301320
92685541810
101074365136
115014a6479
1225b977100
13141776820
14a29886ac
15644c0626
hex400982d0

1074365136 has 120 divisors (see below), whose sum is σ = 3264235520. Its totient is φ = 327898368.

The previous prime is 1074365093. The next prime is 1074365143. The reversal of 1074365136 is 6315634701.

1074365136 is a `hidden beast` number, since 107 + 4 + 36 + 513 + 6 = 666.

It is a super-3 number, since 3×10743651363 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1074365136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235485 + ... + 240003.

Almost surely, 21074365136 is an apocalyptic number.

1074365136 is a gapful number since it is divisible by the number (16) 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 1074365136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632117760).

1074365136 is an abundant number, since it is smaller than the sum of its proper divisors (2189870384).

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

1074365136 is a wasteful number, since it uses less digits than its factorization.

1074365136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4673 (or 4664 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1074365136 is about 32777.5096064359. The cubic root of 1074365136 is about 1024.1981072194.

Adding to 1074365136 its reverse (6315634701), we get a palindrome (7389999837).

The spelling of 1074365136 in words is "one billion, seventy-four million, three hundred sixty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 127 144 156 208 234 254 312 381 468 508 624 762 936 1016 1143 1524 1651 1872 2032 2286 3048 3302 4519 4572 4953 6096 6604 9038 9144 9906 13208 13557 14859 18076 18288 19812 26416 27114 29718 36152 39624 40671 54228 58747 59436 72304 79248 81342 108456 117494 118872 162684 176241 216912 234988 237744 325368 352482 469976 528723 573913 650736 704964 939952 1057446 1147826 1409928 1721739 2114892 2295652 2819856 3443478 4229784 4591304 5165217 6886956 7460869 8459568 9182608 10330434 13773912 14921738 20660868 22382607 27547824 29843476 41321736 44765214 59686952 67147821 82643472 89530428 119373904 134295642 179060856 268591284 358121712 537182568 1074365136