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40010560 = 265971289
BaseRepresentation
bin1001100010100…
…0001101000000
32210021202011121
42120220031000
540220314220
63545322024
7664040602
oct230501500
983252147
1040010560
1120648587
1211496314
13839b5b5
145457172
1537a4eaa
hex2628340

40010560 has 56 divisors (see below), whose sum is σ = 96332040. Its totient is φ = 15826944.

The previous prime is 40010549. The next prime is 40010563. The reversal of 40010560 is 6501004.

It can be written as a sum of positive squares in 4 ways, for example, as 8020224 + 31990336 = 2832^2 + 5656^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40010563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30396 + ... + 31684.

It is an arithmetic number, because the mean of its divisors is an integer number (1720215).

Almost surely, 240010560 is an apocalyptic number.

40010560 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 40010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48166020).

40010560 is an abundant number, since it is smaller than the sum of its proper divisors (56321480).

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

40010560 is a wasteful number, since it uses less digits than its factorization.

40010560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 40010560 is about 6325.3901065468. The cubic root of 40010560 is about 342.0252822640.

Adding to 40010560 its reverse (6501004), we get a palindrome (46511564).

The spelling of 40010560 in words is "forty million, ten thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 160 194 320 388 485 776 970 1289 1552 1940 2578 3104 3880 5156 6208 6445 7760 10312 12890 15520 20624 25780 31040 41248 51560 82496 103120 125033 206240 250066 412480 500132 625165 1000264 1250330 2000528 2500660 4001056 5001320 8002112 10002640 20005280 40010560