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3700 = 225237
BaseRepresentation
bin111001110100
312002001
4321310
5104300
625044
713534
oct7164
95061
103700
112864
122184
1318b8
1414c4
15116a
hexe74

3700 has 18 divisors (see below), whose sum is σ = 8246. Its totient is φ = 1440.

The previous prime is 3697. The next prime is 3701. The reversal of 3700 is 73.

Adding to 3700 its product of nonzero digits (21), we get a square (3721 = 612).

Adding to 3700 its reverse (73), we get a palindrome (3773).

It can be divided in two parts, 3 and 700, that added together give a triangular number (703 = T37).

3700 = T41 + T42 + ... + T44.

It can be written as a sum of positive squares in 3 ways, for example, as 784 + 2916 = 28^2 + 54^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 82 + ... + 118.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4123).

3700 is an abundant number, since it is smaller than the sum of its proper divisors (4546).

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

3700 is a wasteful number, since it uses less digits than its factorization.

3700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 10.

The square root of 3700 is about 60.8276253030. The cubic root of 3700 is about 15.4668037377.

The spelling of 3700 in words is "three thousand, seven hundred", and thus it is an iban number.

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700