Search a number
-
+
105542460 = 223351711497
BaseRepresentation
bin1100100101001…
…11001100111100
321100121010001000
412102213030330
5204004324320
614250050300
72421044652
oct622471474
9240533030
10105542460
1154637681
122b419990
1318b3447a
1410034dd2
1593ebc90
hex64a733c

105542460 has 96 divisors (see below), whose sum is σ = 347699520. Its totient is φ = 26486784.

The previous prime is 105542453. The next prime is 105542483. The reversal of 105542460 is 64245501.

It is a super-2 number, since 2×1055424602 = 22278421725703200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3432 + ... + 14928.

It is an arithmetic number, because the mean of its divisors is an integer number (3621870).

Almost surely, 2105542460 is an apocalyptic number.

105542460 is a gapful number since it is divisible by the number (10) 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 105542460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173849760).

105542460 is an abundant number, since it is smaller than the sum of its proper divisors (242157060).

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

105542460 is a wasteful number, since it uses less digits than its factorization.

105542460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11532 (or 11524 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 105542460 is about 10273.3860046238. The cubic root of 105542460 is about 472.5804347823.

Adding to 105542460 its reverse (64245501), we get a palindrome (169787961).

The spelling of 105542460 in words is "one hundred five million, five hundred forty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 9180 11497 22994 34491 45988 57485 68982 103473 114970 137964 172455 195449 206946 229940 310419 344910 390898 413892 517365 586347 620838 689820 781796 977245 1034730 1172694 1241676 1552095 1759041 1954490 2069460 2345388 2931735 3104190 3518082 3908980 5277123 5863470 6208380 7036164 8795205 10554246 11726940 17590410 21108492 26385615 35180820 52771230 105542460