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454321140 = 2235721311887
BaseRepresentation
bin11011000101000…
…110001111110100
31011122212220102220
4123011012033310
51412301234030
6113025402340
714154444300
oct3305061764
91148786386
10454321140
112134a8219
121081993b0
13731807a0
14444a4d00
1529d43a10
hex1b1463f4

454321140 has 144 divisors (see below), whose sum is σ = 1593752832. Its totient is φ = 95848704.

The previous prime is 454321069. The next prime is 454321177. The reversal of 454321140 is 41123454.

It is a self number, because there is not a number n which added to its sum of digits gives 454321140.

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, 32277 + ... + 44163.

It is an arithmetic number, because the mean of its divisors is an integer number (11067728).

Almost surely, 2454321140 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 454321140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796876416).

454321140 is an abundant number, since it is smaller than the sum of its proper divisors (1139431692).

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

454321140 is a wasteful number, since it uses less digits than its factorization.

454321140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11926 (or 11917 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 454321140 is about 21314.8103439838. The cubic root of 454321140 is about 768.7544601499.

Adding to 454321140 its reverse (41123454), we get a palindrome (495444594).

The spelling of 454321140 in words is "four hundred fifty-four million, three hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 49 52 60 65 70 78 84 91 98 105 130 140 147 156 182 195 196 210 245 260 273 294 364 390 420 455 490 546 588 637 735 780 910 980 1092 1274 1365 1470 1820 1911 2548 2730 2940 3185 3822 5460 6370 7644 9555 11887 12740 19110 23774 35661 38220 47548 59435 71322 83209 118870 142644 154531 166418 178305 237740 249627 309062 332836 356610 416045 463593 499254 582463 618124 713220 772655 832090 927186 998508 1081717 1164926 1248135 1545310 1664180 1747389 1854372 2163434 2317965 2329852 2496270 2912315 3090620 3245151 3494778 4326868 4635930 4992540 5408585 5824630 6490302 6989556 7572019 8736945 9271860 10817170 11649260 12980604 15144038 16225755 17473890 21634340 22716057 30288076 32451510 34947780 37860095 45432114 64903020 75720190 90864228 113580285 151440380 227160570 454321140