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2153135320 = 235710771867
BaseRepresentation
bin1000000001010110…
…0011110011011000
312120001111121101121
42000111203303120
513402200312240
6553353055024
7104233230310
oct20025436330
95501447347
102153135320
11a05430486
125010b7474
1328410338b
14165d5c440
15c906104a
hex80563cd8

2153135320 has 64 divisors (see below), whose sum is σ = 5588455680. Its totient is φ = 731308416.

The previous prime is 2153135293. The next prime is 2153135353. The reversal of 2153135320 is 235313512.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5974 + ... + 65893.

It is an arithmetic number, because the mean of its divisors is an integer number (87319620).

Almost surely, 22153135320 is an apocalyptic number.

2153135320 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 2153135320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794227840).

2153135320 is an abundant number, since it is smaller than the sum of its proper divisors (3435320360).

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

2153135320 is a wasteful number, since it uses less digits than its factorization.

2153135320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71992 (or 71988 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 2153135320 is about 46401.8891856786. The cubic root of 2153135320 is about 1291.2899621746.

Adding to 2153135320 its reverse (235313512), we get a palindrome (2388448832).

The spelling of 2153135320 in words is "two billion, one hundred fifty-three million, one hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 107 140 214 280 428 535 749 856 1070 1498 2140 2996 3745 4280 5992 7490 14980 29960 71867 143734 287468 359335 503069 574936 718670 1006138 1437340 2012276 2515345 2874680 4024552 5030690 7689769 10061380 15379538 20122760 30759076 38448845 53828383 61518152 76897690 107656766 153795380 215313532 269141915 307590760 430627064 538283830 1076567660 2153135320