Search a number
-
+
20324453120 = 285311074787
BaseRepresentation
bin10010111011011011…
…101000101100000000
31221110110001012020222
4102323123220230000
5313111024444440
613200435322212
71316442000236
oct227333505400
957413035228
1020324453120
11868a6954a4
123b32750368
131bbb987a2a
14dab422956
157de4aa2b5
hex4bb6e8b00

20324453120 has 144 divisors (see below), whose sum is σ = 50734107648. Its totient is φ = 7792373760.

The previous prime is 20324453111. The next prime is 20324453147. The reversal of 20324453120 is 2135442302.

It is a self number, because there is not a number n which added to its sum of digits gives 20324453120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4243367 + ... + 4248153.

It is an arithmetic number, because the mean of its divisors is an integer number (352320192).

Almost surely, 220324453120 is an apocalyptic number.

20324453120 is a gapful number since it is divisible by the number (20) 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 20324453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25367053824).

20324453120 is an abundant number, since it is smaller than the sum of its proper divisors (30409654528).

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

20324453120 is a wasteful number, since it uses less digits than its factorization.

20324453120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4946 (or 4932 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 20324453120 its reverse (2135442302), we get a palindrome (22459895422).

The spelling of 20324453120 in words is "twenty billion, three hundred twenty-four million, four hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 107 124 128 155 160 214 248 256 310 320 428 496 535 620 640 856 992 1070 1240 1280 1712 1984 2140 2480 3317 3424 3968 4280 4787 4960 6634 6848 7936 8560 9574 9920 13268 13696 16585 17120 19148 19840 23935 26536 27392 33170 34240 38296 39680 47870 53072 66340 68480 76592 95740 106144 132680 136960 148397 153184 191480 212288 265360 296794 306368 382960 424576 512209 530720 593588 612736 741985 765920 849152 1024418 1061440 1187176 1225472 1483970 1531840 2048836 2122880 2374352 2561045 2967940 3063680 4097672 4245760 4748704 5122090 5935880 6127360 8195344 9497408 10244180 11871760 15878479 16390688 18994816 20488360 23743520 31756958 32781376 37989632 40976720 47487040 63513916 65562752 79392395 81953440 94974080 127027832 131125504 158784790 163906880 189948160 254055664 317569580 327813760 508111328 635139160 655627520 1016222656 1270278320 2032445312 2540556640 4064890624 5081113280 10162226560 20324453120