Search a number
-
+
56636040 = 2335895303
BaseRepresentation
bin1101100000001…
…1001010001000
310221120102001010
43120003022020
5103444323130
65341523520
71255253436
oct330031210
9127512033
1056636040
1129a7354a
1216b735a0
13b96ca66
147743d56
154e8b0b0
hex3603288

56636040 has 64 divisors (see below), whose sum is σ = 171849600. Its totient is φ = 14930432.

The previous prime is 56636033. The next prime is 56636057. The reversal of 56636040 is 4063665.

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 = 56635989 and 56636007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8029 + ... + 13331.

It is an arithmetic number, because the mean of its divisors is an integer number (2685150).

Almost surely, 256636040 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 56636040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85924800).

56636040 is an abundant number, since it is smaller than the sum of its proper divisors (115213560).

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

56636040 is a wasteful number, since it uses less digits than its factorization.

56636040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5406 (or 5402 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 56636040 is about 7525.6919947603. The cubic root of 56636040 is about 384.0292403949.

The spelling of 56636040 in words is "fifty-six million, six hundred thirty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 356 445 534 712 890 1068 1335 1780 2136 2670 3560 5303 5340 10606 10680 15909 21212 26515 31818 42424 53030 63636 79545 106060 127272 159090 212120 318180 471967 636360 943934 1415901 1887868 2359835 2831802 3775736 4719670 5663604 7079505 9439340 11327208 14159010 18878680 28318020 56636040