Search a number
-
+
40161780 = 22325347643
BaseRepresentation
bin1001100100110…
…1000111110100
32210120102121100
42121031013310
540240134110
63552450100
7665240511
oct231150764
983512540
1040161780
112074115a
1211549930
138422389
145496308
1537d4bc0
hex264d1f4

40161780 has 72 divisors (see below), whose sum is σ = 122365152. Its totient is φ = 10662336.

The previous prime is 40161767. The next prime is 40161809. The reversal of 40161780 is 8716104.

It is a happy number.

40161780 is a `hidden beast` number, since 40 + 1 + 617 + 8 + 0 = 666.

40161780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401617802 = 3225937145536800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62139 + ... + 62781.

It is an arithmetic number, because the mean of its divisors is an integer number (1699516).

Almost surely, 240161780 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 40161780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61182576).

40161780 is an abundant number, since it is smaller than the sum of its proper divisors (82203372).

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

40161780 is a wasteful number, since it uses less digits than its factorization.

40161780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 40161780 is about 6337.3322463005. The cubic root of 40161780 is about 342.4556356482.

Adding to 40161780 its reverse (8716104), we get a palindrome (48877884).

The spelling of 40161780 in words is "forty million, one hundred sixty-one thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 347 643 694 1041 1286 1388 1735 1929 2082 2572 3123 3215 3470 3858 4164 5205 5787 6246 6430 6940 7716 9645 10410 11574 12492 12860 15615 19290 20820 23148 28935 31230 38580 57870 62460 115740 223121 446242 669363 892484 1115605 1338726 2008089 2231210 2677452 3346815 4016178 4462420 6693630 8032356 10040445 13387260 20080890 40161780