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3770 = 251329
BaseRepresentation
bin111010111010
312011122
4322322
5110040
625242
713664
oct7272
95148
103770
112918
122222
131940
141534
1511b5
hexeba

3770 has 16 divisors (see below), whose sum is σ = 7560. Its totient is φ = 1344.

The previous prime is 3769. The next prime is 3779. The reversal of 3770 is 773.

3770 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 4 ways, for example, as 2401 + 1369 = 49^2 + 37^2 .

3770 is an admirable number.

3770 is an undulating number in base 8.

It is a Curzon number.

3770 is a nontrivial repdigit in base 12.

It is a plaindrome in base 12.

It is a nialpdrome in base 12 and base 16.

It is a zygodrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3770.

It is not an unprimeable number, because it can be changed into a prime (3779) 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, 116 + ... + 144.

23770 is an apocalyptic number.

3770 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780).

3770 is a wasteful number, since it uses less digits than its factorization.

3770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49.

The product of its (nonzero) digits is 147, while the sum is 17.

The square root of 3770 is about 61.4003257320. The cubic root of 3770 is about 15.5637334173.

The spelling of 3770 in words is "three thousand, seven hundred seventy", and thus it is an iban number.

Divisors: 1 2 5 10 13 26 29 58 65 130 145 290 377 754 1885 3770