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2153534120 = 235101533053
BaseRepresentation
bin1000000001011100…
…0101001010101000
312120002020212102222
42000113011022220
513402301042440
6553405413212
7104236511063
oct20027051250
95502225388
102153534120
11a05683071
1250126a208
13284212a5a
141660238da
15c90de2b5
hex805c52a8

2153534120 has 32 divisors (see below), whose sum is σ = 4893435720. Its totient is φ = 852883200.

The previous prime is 2153534087. The next prime is 2153534129. The reversal of 2153534120 is 214353512.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2112137764 + 41396356 = 45958^2 + 6434^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2153534120.

It is not an unprimeable number, because it can be changed into a prime (2153534129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262487 + ... + 270566.

Almost surely, 22153534120 is an apocalyptic number.

2153534120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2153534120 is an abundant number, since it is smaller than the sum of its proper divisors (2739901600).

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

2153534120 is a wasteful number, since it uses less digits than its factorization.

2153534120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533165 (or 533161 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 2153534120 is about 46406.1862255454. The cubic root of 2153534120 is about 1291.3696807508.

Adding to 2153534120 its reverse (214353512), we get a palindrome (2367887632).

It can be divided in two parts, 21535 and 34120, that added together give a palindrome (55655).

The spelling of 2153534120 in words is "two billion, one hundred fifty-three million, five hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 533053 1066106 2132212 2665265 4264424 5330530 10661060 21322120 53838353 107676706 215353412 269191765 430706824 538383530 1076767060 2153534120