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2153421120 = 26355234289
BaseRepresentation
bin1000000001011010…
…1001100101000000
312120002001010102210
42000112221211000
513402233433440
6553403142120
7104235530454
oct20026514500
95502033383
102153421120
11a05606184
12501214940
132841a34a6
14165dd4664
15c90baa80
hex805a9940

2153421120 has 112 divisors (see below), whose sum is σ = 6851782080. Its totient is φ = 573014016.

The previous prime is 2153421091. The next prime is 2153421121. The reversal of 2153421120 is 211243512.

2153421120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153421121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499936 + ... + 504224.

Almost surely, 22153421120 is an apocalyptic number.

2153421120 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 2153421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425891040).

2153421120 is an abundant number, since it is smaller than the sum of its proper divisors (4698360960).

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

2153421120 is a wasteful number, since it uses less digits than its factorization.

2153421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4832 (or 4822 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2153421120 is about 46404.9686994830. The cubic root of 2153421120 is about 1291.3470934876.

Adding to 2153421120 its reverse (211243512), we get a palindrome (2364664632).

The spelling of 2153421120 in words is "two billion, one hundred fifty-three million, four hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 523 960 1046 1569 2092 2615 3138 4184 4289 5230 6276 7845 8368 8578 10460 12552 12867 15690 16736 17156 20920 21445 25104 25734 31380 33472 34312 41840 42890 50208 51468 62760 64335 68624 83680 85780 100416 102936 125520 128670 137248 167360 171560 205872 251040 257340 274496 343120 411744 502080 514680 686240 823488 1029360 1372480 2058720 2243147 4117440 4486294 6729441 8972588 11215735 13458882 17945176 22431470 26917764 33647205 35890352 44862940 53835528 67294410 71780704 89725880 107671056 134588820 143561408 179451760 215342112 269177640 358903520 430684224 538355280 717807040 1076710560 2153421120