Search a number
-
+
1145001424 = 247241179199
BaseRepresentation
bin100010000111111…
…0101010111010000
32221210112002200011
41010033311113100
54321110021144
6305341204304
740242231400
oct10417652720
92853462604
101145001424
11538361576
1227b560694
131532a8b48
14ac0d4800
156a7c4a34
hex443f55d0

1145001424 has 120 divisors (see below), whose sum is σ = 2671704000. Its totient is φ = 473679360.

The previous prime is 1145001413. The next prime is 1145001443. The reversal of 1145001424 is 4241005411.

It is a super-2 number, since 2×11450014242 = 2622056521924055552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1145001395 and 1145001404.

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, 5753677 + ... + 5753875.

It is an arithmetic number, because the mean of its divisors is an integer number (22264200).

Almost surely, 21145001424 is an apocalyptic number.

1145001424 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 1145001424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335852000).

1145001424 is an abundant number, since it is smaller than the sum of its proper divisors (1526702576).

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

1145001424 is a wasteful number, since it uses less digits than its factorization.

1145001424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 1145001424 is about 33837.8696728976. The cubic root of 1145001424 is about 1046.1693903134.

Adding to 1145001424 its reverse (4241005411), we get a palindrome (5386006835).

The spelling of 1145001424 in words is "one billion, one hundred forty-five million, one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 41 49 56 82 98 112 164 179 196 199 287 328 358 392 398 574 656 716 784 796 1148 1253 1393 1432 1592 2009 2296 2506 2786 2864 3184 4018 4592 5012 5572 7339 8036 8159 8771 9751 10024 11144 14678 16072 16318 17542 19502 20048 22288 29356 32144 32636 35084 35621 39004 51373 57113 58712 65272 70168 71242 78008 102746 114226 117424 130544 140336 142484 156016 205492 228452 249347 284968 359611 399791 410984 456904 498694 569936 719222 799582 821968 913808 997388 1438444 1460461 1599164 1745429 1994776 2876888 2920922 3198328 3490858 3989552 5753776 5841844 6396656 6981716 10223227 11683688 13963432 20446454 23367376 27926864 40892908 71562589 81785816 143125178 163571632 286250356 572500712 1145001424