Search a number
-
+
534124140 = 2235113832113
BaseRepresentation
bin11111110101100…
…001011001101100
31101020001022120120
4133311201121230
52043213433030
6125000044540
716143660144
oct3765413154
91336038516
10534124140
11254554410
1212aa63750
13868722b4
1450d19924
1531d59010
hex1fd6166c

534124140 has 96 divisors (see below), whose sum is σ = 1636540416. Its totient is φ = 129085440.

The previous prime is 534124133. The next prime is 534124153. The reversal of 534124140 is 41421435.

It is a self number, because there is not a number n which added to its sum of digits gives 534124140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251724 + ... + 253836.

It is an arithmetic number, because the mean of its divisors is an integer number (17047296).

Almost surely, 2534124140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534124140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818270208).

534124140 is an abundant number, since it is smaller than the sum of its proper divisors (1102416276).

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

534124140 is a wasteful number, since it uses less digits than its factorization.

534124140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 534124140 is about 23111.1258920893. The cubic root of 534124140 is about 811.3608886228.

Adding to 534124140 its reverse (41421435), we get a palindrome (575545575).

The spelling of 534124140 in words is "five hundred thirty-four million, one hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 383 660 766 1149 1532 1915 2113 2298 3830 4213 4226 4596 5745 6339 7660 8426 8452 10565 11490 12639 12678 16852 21065 21130 22980 23243 25278 25356 31695 42130 42260 46486 50556 63195 63390 69729 84260 92972 116215 126390 126780 139458 232430 252780 278916 348645 464860 697290 809279 1394580 1618558 2427837 3237116 4046395 4855674 8092790 8902069 9711348 12139185 16185580 17804138 24278370 26706207 35608276 44510345 48556740 53412414 89020690 106824828 133531035 178041380 267062070 534124140