Search a number
-
+
454106380 = 2257132171129
BaseRepresentation
bin11011000100010…
…001110100001100
31011122110222211211
4123010101310030
51412222401010
6113021024204
714152561210
oct3304216414
91148428754
10454106380
11213370932
121080b5064
1373106b00
144444a940
1529d0008a
hex1b111d0c

454106380 has 144 divisors (see below), whose sum is σ = 1250665920. Its totient is φ = 135143424.

The previous prime is 454106357. The next prime is 454106381. The reversal of 454106380 is 83601454.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (454106381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 401656 + ... + 402784.

It is an arithmetic number, because the mean of its divisors is an integer number (8685180).

Almost surely, 2454106380 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 454106380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625332960).

454106380 is an abundant number, since it is smaller than the sum of its proper divisors (796559540).

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

454106380 is a wasteful number, since it uses less digits than its factorization.

454106380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 454106380 is about 21309.7719368369. The cubic root of 454106380 is about 768.6333096286.

The spelling of 454106380 in words is "four hundred fifty-four million, one hundred six thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 17 20 26 28 34 35 52 65 68 70 85 91 119 130 140 169 170 182 221 238 260 338 340 364 442 455 476 595 676 845 884 910 1105 1129 1183 1190 1547 1690 1820 2210 2258 2366 2380 2873 3094 3380 4420 4516 4732 5645 5746 5915 6188 7735 7903 11290 11492 11830 14365 14677 15470 15806 19193 20111 22580 23660 28730 29354 30940 31612 38386 39515 40222 57460 58708 73385 76772 79030 80444 95965 100555 102739 134351 146770 158060 190801 191930 201110 205478 249509 268702 293540 381602 383860 402220 410956 499018 513695 537404 671755 763204 954005 998036 1027390 1247545 1335607 1343510 1746563 1908010 2054780 2495090 2671214 2687020 3243617 3493126 3816020 4990180 5342428 6487234 6678035 6986252 8732815 12974468 13356070 16218085 17465630 22705319 26712140 32436170 34931260 45410638 64872340 90821276 113526595 227053190 454106380