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40470 = 2351971
BaseRepresentation
bin1001111000010110
32001111220
421320112
52243340
6511210
7225663
oct117026
961456
1040470
1128451
121b506
1315561
1410a6a
15bed0
hex9e16

40470 has 32 divisors (see below), whose sum is σ = 103680. Its totient is φ = 10080.

The previous prime is 40459. The next prime is 40471. The reversal of 40470 is 7404.

40470 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

40470 is a nontrivial binomial coefficient, being equal to C(285, 2).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 535 + ... + 605.

It is an arithmetic number, because the mean of its divisors is an integer number (3240).

240470 is an apocalyptic number.

40470 is the 284-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51840).

40470 is an abundant number, since it is smaller than the sum of its proper divisors (63210).

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

40470 is a wasteful number, since it uses less digits than its factorization.

40470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100.

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 40470 is about 201.1715685677. The cubic root of 40470 is about 34.3329458173.

Adding to 40470 its reverse (7404), we get a palindrome (47874).

It can be divided in two parts, 404 and 70, that added together give a palindrome (474).

The spelling of 40470 in words is "forty thousand, four hundred seventy", and thus it is an iban number.

Divisors: 1 2 3 5 6 10 15 19 30 38 57 71 95 114 142 190 213 285 355 426 570 710 1065 1349 2130 2698 4047 6745 8094 13490 20235 40470