[go: up one dir, main page]

Search a number
-
+
40141040 = 245677489
BaseRepresentation
bin1001100100100…
…0000011110000
32210112101011012
42121020003300
540234003130
63552210052
7665123162
oct231100360
983471135
1040141040
1120727615
1211539928
138415ac4
14548c932
1537cd995
hex26480f0

40141040 has 40 divisors (see below), whose sum is σ = 94733520. Its totient is φ = 15814656.

The previous prime is 40141037. The next prime is 40141061. The reversal of 40141040 is 4014104.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×401410402 = 3222606184563200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1616 + ... + 9104.

It is an arithmetic number, because the mean of its divisors is an integer number (2368338).

Almost surely, 240141040 is an apocalyptic number.

40141040 is a gapful number since it is divisible by the number (40) 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 40141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47366760).

40141040 is an abundant number, since it is smaller than the sum of its proper divisors (54592480).

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

40141040 is a wasteful number, since it uses less digits than its factorization.

40141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7569 (or 7563 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 40141040 is about 6335.6956997634. The cubic root of 40141040 is about 342.3966761694.

Adding to 40141040 its reverse (4014104), we get a palindrome (44155144).

The spelling of 40141040 in words is "forty million, one hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5360 7489 14978 29956 37445 59912 74890 119824 149780 299560 501763 599120 1003526 2007052 2508815 4014104 5017630 8028208 10035260 20070520 40141040