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455007420 = 2232571093313
BaseRepresentation
bin11011000111101…
…101110010111100
31011201011202211200
4123013231302330
51412440214140
6113052215500
714163333150
oct3307556274
91151152750
10455007420
1121392689a
1210846a590
1373360c7a
1444603060
1529e2c030
hex1b1edcbc

455007420 has 144 divisors (see below), whose sum is σ = 1592310720. Its totient is φ = 103016448.

The previous prime is 455007403. The next prime is 455007433. The reversal of 455007420 is 24700554.

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, 135684 + ... + 138996.

Almost surely, 2455007420 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 455007420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796155360).

455007420 is an abundant number, since it is smaller than the sum of its proper divisors (1137303300).

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

455007420 is a wasteful number, since it uses less digits than its factorization.

455007420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3444 (or 3439 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 455007420 is about 21330.9029344751. The cubic root of 455007420 is about 769.1413490262.

Adding to 455007420 its reverse (24700554), we get a palindrome (479707974).

The spelling of 455007420 in words is "four hundred fifty-five million, seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 109 126 140 180 210 218 252 315 327 420 436 545 630 654 763 981 1090 1260 1308 1526 1635 1962 2180 2289 3052 3270 3313 3815 3924 4578 4905 6540 6626 6867 7630 9156 9810 9939 11445 13252 13734 15260 16565 19620 19878 22890 23191 27468 29817 33130 34335 39756 45780 46382 49695 59634 66260 68670 69573 92764 99390 115955 119268 137340 139146 149085 198780 208719 231910 278292 298170 347865 361117 417438 463820 596340 695730 722234 834876 1043595 1083351 1391460 1444468 1805585 2087190 2166702 2527819 3250053 3611170 4174380 4333404 5055638 5416755 6500106 7222340 7583457 10111276 10833510 12639095 13000212 15166914 16250265 21667020 22750371 25278190 30333828 32500530 37917285 45500742 50556380 65001060 75834570 91001484 113751855 151669140 227503710 455007420