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1420602456 = 2337132412699
BaseRepresentation
bin101010010101100…
…1010110001011000
310200000010002012210
41110223022301120
510402133234311
6352544235120
750126631060
oct12453126130
93600102183
101420602456
11669990719
1233790baa0
13198413190
14d69563a0
1584ab43a6
hex54acac58

1420602456 has 128 divisors (see below), whose sum is σ = 4390848000. Its totient is φ = 372971520.

The previous prime is 1420602451. The next prime is 1420602473. The reversal of 1420602456 is 6542060241.

It is a super-2 number, since 2×14206024562 = 4036222675986463872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1420602451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 524995 + ... + 527693.

It is an arithmetic number, because the mean of its divisors is an integer number (34303500).

Almost surely, 21420602456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1420602456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195424000).

1420602456 is an abundant number, since it is smaller than the sum of its proper divisors (2970245544).

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

1420602456 is a wasteful number, since it uses less digits than its factorization.

1420602456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2969 (or 2965 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1420602456 is about 37690.8802762684. The cubic root of 1420602456 is about 1124.1497987219.

Adding to 1420602456 its reverse (6542060241), we get a palindrome (7962662697).

The spelling of 1420602456 in words is "one billion, four hundred twenty million, six hundred two thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 241 273 312 364 482 546 723 728 964 1092 1446 1687 1928 2184 2699 2892 3133 3374 5061 5398 5784 6266 6748 8097 9399 10122 10796 12532 13496 16194 18798 18893 20244 21592 21931 25064 32388 35087 37596 37786 40488 43862 56679 64776 65793 70174 75192 75572 87724 105261 113358 131586 140348 151144 175448 210522 226716 245609 263172 280696 421044 453432 491218 526344 650459 736827 842088 982436 1300918 1473654 1951377 1964872 2601836 2947308 3902754 4553213 5203672 5894616 7805508 8455967 9106426 13659639 15611016 16911934 18212852 25367901 27319278 33823868 36425704 50735802 54638556 59191769 67647736 101471604 109277112 118383538 177575307 202943208 236767076 355150614 473534152 710301228 1420602456