Search a number
-
+
454243140 = 223451321569
BaseRepresentation
bin11011000100110…
…011001101000100
31011122201221110000
4123010303031010
51412241240030
6113024001300
714154001011
oct3304631504
91148657400
10454243140
1121345465a
12108160230
1373154130
1444484708
1529d2a860
hex1b133344

454243140 has 120 divisors (see below), whose sum is σ = 1534662360. Its totient is φ = 111808512.

The previous prime is 454243129. The next prime is 454243151. The reversal of 454243140 is 41342454.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (454243129) and next prime (454243151).

It can be written as a sum of positive squares in 4 ways, for example, as 15256836 + 438986304 = 3906^2 + 20952^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10276 + ... + 31844.

It is an arithmetic number, because the mean of its divisors is an integer number (12788853).

Almost surely, 2454243140 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 454243140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767331180).

454243140 is an abundant number, since it is smaller than the sum of its proper divisors (1080419220).

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

454243140 is a wasteful number, since it uses less digits than its factorization.

454243140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21603 (or 21592 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 454243140 is about 21312.9805517670. The cubic root of 454243140 is about 768.7104631659.

Adding to 454243140 its reverse (41342454), we get a palindrome (495585594).

The spelling of 454243140 in words is "four hundred fifty-four million, two hundred forty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 7020 10530 21060 21569 43138 64707 86276 107845 129414 194121 215690 258828 280397 323535 388242 431380 560794 582363 647070 776484 841191 970605 1121588 1164726 1294140 1401985 1682382 1747089 1941210 2329452 2523573 2803970 2911815 3364764 3494178 3882420 4205955 5047146 5607940 5823630 6988356 7570719 8411910 8735445 10094292 11647260 12617865 15141438 16823820 17470890 22712157 25235730 30282876 34941780 37853595 45424314 50471460 75707190 90848628 113560785 151414380 227121570 454243140