Search a number
-
+
103542054 = 23711271827
BaseRepresentation
bin1100010101111…
…10110100100110
321012211110222220
412022332310212
5203001321204
614135133210
72365043610
oct612766446
9235743886
10103542054
11534a0750
122a814206
13185b3ab5
14da73db0
1591541d9
hex62bed26

103542054 has 64 divisors (see below), whose sum is σ = 259448832. Its totient is φ = 26762400.

The previous prime is 103542041. The next prime is 103542091. The reversal of 103542054 is 450245301.

It is a super-3 number, since 3×1035420543 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124789 + ... + 125615.

It is an arithmetic number, because the mean of its divisors is an integer number (4053888).

Almost surely, 2103542054 is an apocalyptic number.

103542054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103542054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129724416).

103542054 is an abundant number, since it is smaller than the sum of its proper divisors (155906778).

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

103542054 is a wasteful number, since it uses less digits than its factorization.

103542054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121.

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 103542054 is about 10175.5616061228. The cubic root of 103542054 is about 469.5756755760.

Adding to 103542054 its reverse (450245301), we get a palindrome (553787355).

The spelling of 103542054 in words is "one hundred three million, five hundred forty-two thousand, fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 271 462 542 813 827 1626 1654 1897 2481 2981 3794 4962 5691 5789 5962 8943 9097 11382 11578 17367 17886 18194 20867 27291 34734 41734 54582 62601 63679 125202 127358 191037 224117 382074 448234 672351 1344702 1568819 2465287 3137638 4706457 4930574 7395861 9412914 14791722 17257009 34514018 51771027 103542054