Search a number
-
+
105159488 = 267233533
BaseRepresentation
bin1100100010010…
…01101101000000
321022212122200212
412101021231000
5203410100423
614233533252
72414561300
oct621115500
9238778625
10105159488
11543a5975
122b274228
1318a2c065
14dd75600
159373578
hex6449b40

105159488 has 42 divisors (see below), whose sum is σ = 242752626. Its totient is φ = 45067008.

The previous prime is 105159487. The next prime is 105159491. The reversal of 105159488 is 884951501.

It can be written as a sum of positive squares in only one way, i.e., 99361024 + 5798464 = 9968^2 + 2408^2 .

It is a super-2 number, since 2×1051594882 = 22117035832844288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105159487) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13631 + ... + 19902.

Almost surely, 2105159488 is an apocalyptic number.

It is an amenable number.

105159488 is an abundant number, since it is smaller than the sum of its proper divisors (137593138).

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

105159488 is an equidigital number, since it uses as much as digits as its factorization.

105159488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33559 (or 33542 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 41.

The square root of 105159488 is about 10254.7300305761. The cubic root of 105159488 is about 472.0081392832.

The spelling of 105159488 in words is "one hundred five million, one hundred fifty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 33533 67066 134132 234731 268264 469462 536528 938924 1073056 1643117 1877848 2146112 3286234 3755696 6572468 7511392 13144936 15022784 26289872 52579744 105159488