Search a number
-
+
454714680 = 233574312589
BaseRepresentation
bin11011000110100…
…110010100111000
31011200121220021110
4123012212110320
51412401332210
6113042040320
714161003530
oct3306462470
91150556243
10454714680
11213746962
121083490a0
137328a954
14445684c0
1529dc0420
hex1b1a6538

454714680 has 128 divisors (see below), whose sum is σ = 1595404800. Its totient is φ = 101509632.

The previous prime is 454714649. The next prime is 454714697. The reversal of 454714680 is 86417454.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29826 + ... + 42414.

It is an arithmetic number, because the mean of its divisors is an integer number (12464100).

Almost surely, 2454714680 is an apocalyptic number.

454714680 is a gapful number since it is divisible by the number (40) 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 454714680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797702400).

454714680 is an abundant number, since it is smaller than the sum of its proper divisors (1140690120).

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

454714680 is a wasteful number, since it uses less digits than its factorization.

454714680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12653 (or 12649 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 454714680 is about 21324.0399549429. The cubic root of 454714680 is about 768.9763650919.

The spelling of 454714680 in words is "four hundred fifty-four million, seven hundred fourteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 43 56 60 70 84 86 105 120 129 140 168 172 210 215 258 280 301 344 420 430 516 602 645 840 860 903 1032 1204 1290 1505 1720 1806 2408 2580 3010 3612 4515 5160 6020 7224 9030 12040 12589 18060 25178 36120 37767 50356 62945 75534 88123 100712 125890 151068 176246 188835 251780 264369 302136 352492 377670 440615 503560 528738 541327 704984 755340 881230 1057476 1082654 1321845 1510680 1623981 1762460 2114952 2165308 2643690 2706635 3247962 3524920 3789289 4330616 5287380 5413270 6495924 7578578 8119905 10574760 10826540 11367867 12991848 15157156 16239810 18946445 21653080 22735734 30314312 32479620 37892890 45471468 56839335 64959240 75785780 90942936 113678670 151571560 227357340 454714680