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4074 = 23797
BaseRepresentation
bin111111101010
312120220
4333222
5112244
630510
714610
oct7752
95526
104074
113074
122436
131b15
1416b0
151319
hexfea

4074 has 16 divisors (see below), whose sum is σ = 9408. Its totient is φ = 1152.

The previous prime is 4073. The next prime is 4079. The reversal of 4074 is 4704.

Added to its reverse (4704) it gives a triangular number (8778 = T132).

4074 is a modest number, since divided by 74 gives 4 as remainder.

It is a plaindrome in base 5.

It is a nialpdrome in base 4, base 8 and base 16.

It is a zygodrome in base 4 and base 5.

It is not an unprimeable number, because it can be changed into a prime (4073) 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, 7 + ... + 90.

It is an arithmetic number, because the mean of its divisors is an integer number (588).

24074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704).

4074 is an abundant number, since it is smaller than the sum of its proper divisors (5334).

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

4074 is a wasteful number, since it uses less digits than its factorization.

4074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109.

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

The square root of 4074 is about 63.8278935889. The cubic root of 4074 is about 15.9713027266.

Adding to 4074 its product of nonzero digits (112), we get a triangular number (4186 = T91).

Adding to 4074 its reverse (4704), we get a palindrome (8778).

Subtracting 4074 from its reverse (4704), we obtain a triangular number (630 = T35).

The spelling of 4074 in words is "four thousand, seventy-four", and thus it is an iban number.

Divisors: 1 2 3 6 7 14 21 42 97 194 291 582 679 1358 2037 4074