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1454574420 = 22325131135501
BaseRepresentation
bin101011010110011…
…0000101101010100
310202101001000222200
41112230300231110
510434332340140
6400200324500
751021451515
oct12654605524
93671030880
101454574420
11687084322
12347173730
131a2479030
14db27aa0c
1587a75030
hex56b30b54

1454574420 has 144 divisors (see below), whose sum is σ = 4794530832. Its totient is φ = 354816000.

The previous prime is 1454574413. The next prime is 1454574479. The reversal of 1454574420 is 244754541.

1454574420 is a `hidden beast` number, since 1 + 4 + 545 + 74 + 42 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 101364624 + 1353209796 = 10068^2 + 36786^2 .

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

It is a congruent number.

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, 261670 + ... + 267170.

It is an arithmetic number, because the mean of its divisors is an integer number (33295353).

Almost surely, 21454574420 is an apocalyptic number.

1454574420 is a gapful number since it is divisible by the number (10) 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 1454574420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397265416).

1454574420 is an abundant number, since it is smaller than the sum of its proper divisors (3339956412).

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

1454574420 is a wasteful number, since it uses less digits than its factorization.

1454574420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5642 (or 5637 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

The square root of 1454574420 is about 38138.8833082459. The cubic root of 1454574420 is about 1133.0401908119.

The spelling of 1454574420 in words is "one billion, four hundred fifty-four million, five hundred seventy-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 113 117 130 156 180 195 226 234 260 339 390 452 468 565 585 678 780 1017 1130 1170 1356 1469 1695 2034 2260 2340 2938 3390 4068 4407 5085 5501 5876 6780 7345 8814 10170 11002 13221 14690 16503 17628 20340 22004 22035 26442 27505 29380 33006 44070 49509 52884 55010 66012 66105 71513 82515 88140 99018 110020 132210 143026 165030 198036 214539 247545 264420 286052 330060 357565 429078 495090 621613 643617 715130 858156 990180 1072695 1243226 1287234 1430260 1864839 2145390 2486452 2574468 3108065 3218085 3729678 4290780 5594517 6216130 6436170 7459356 8080969 9324195 11189034 12432260 12872340 16161938 18648390 22378068 24242907 27972585 32323876 37296780 40404845 48485814 55945170 72728721 80809690 96971628 111890340 121214535 145457442 161619380 242429070 290914884 363643605 484858140 727287210 1454574420