Search a number
-
+
54036114 = 231119411051
BaseRepresentation
bin1100111000100…
…0011010010010
310202200022121120
43032020122102
5102313123424
65210103110
71224204456
oct316103222
9122608546
1054036114
1128558150
121611aa96
13b26c542
147268666
154b25a79
hex3388692

54036114 has 64 divisors (see below), whose sum is σ = 127249920. Its totient is φ = 15120000.

The previous prime is 54036107. The next prime is 54036121. The reversal of 54036114 is 41163045.

It is an interprime number because it is at equal distance from previous prime (54036107) and next prime (54036121).

It is a super-4 number, since 4×540361144 (a number of 32 digits) contains 4444 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 50889 + ... + 51939.

It is an arithmetic number, because the mean of its divisors is an integer number (1988280).

Almost surely, 254036114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54036114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63624960).

54036114 is an abundant number, since it is smaller than the sum of its proper divisors (73213806).

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

54036114 is a wasteful number, since it uses less digits than its factorization.

54036114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 54036114 is about 7350.9260641092. The cubic root of 54036114 is about 378.0605569115.

Adding to 54036114 its reverse (41163045), we get a palindrome (95199159).

The spelling of 54036114 in words is "fifty-four million, thirty-six thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 19 22 33 38 41 57 66 82 114 123 209 246 418 451 627 779 902 1051 1254 1353 1558 2102 2337 2706 3153 4674 6306 8569 11561 17138 19969 23122 25707 34683 39938 43091 51414 59907 69366 86182 119814 129273 219659 258546 439318 474001 658977 818729 948002 1317954 1422003 1637458 2456187 2844006 4912374 9006019 18012038 27018057 54036114