Search a number
-
+
68114640 = 24351125801
BaseRepresentation
bin1000000111101…
…01100011010000
311202011120201110
410003311203100
5114414132030
610431533320
71454651646
oct403654320
9152146643
1068114640
11354a35a0
121a98a240
131115b629
149091196
155ea71b0
hex40f58d0

68114640 has 80 divisors (see below), whose sum is σ = 230360256. Its totient is φ = 16512000.

The previous prime is 68114617. The next prime is 68114659. The reversal of 68114640 is 4641186.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 68114598 and 68114607.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 10261 + ... + 15540.

Almost surely, 268114640 is an apocalyptic number.

68114640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68114640 is an abundant number, since it is smaller than the sum of its proper divisors (162245616).

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

68114640 is a wasteful number, since it uses less digits than its factorization.

68114640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25828 (or 25822 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 68114640 is about 8253.1593950438. The cubic root of 68114640 is about 408.3947544239.

It can be divided in two parts, 681146 and 40, that added together give a palindrome (681186).

The spelling of 68114640 in words is "sixty-eight million, one hundred fourteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 25801 51602 77403 103204 129005 154806 206408 258010 283811 309612 387015 412816 516020 567622 619224 774030 851433 1032040 1135244 1238448 1419055 1548060 1702866 2064080 2270488 2838110 3096120 3405732 4257165 4540976 5676220 6192240 6811464 8514330 11352440 13622928 17028660 22704880 34057320 68114640