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3712890 = 235235381
BaseRepresentation
bin1110001010011101111010
320222122010110
432022131322
51422303030
6211325150
743362516
oct16123572
96878113
103712890
112106605
1212b07b6
139ccc9c
146c9146
154d51b0
hex38a77a

3712890 has 32 divisors (see below), whose sum is σ = 9300096. Its totient is φ = 946880.

The previous prime is 3712889. The next prime is 3712897. The reversal of 3712890 is 982173.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3712897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2001 + ... + 3380.

It is an arithmetic number, because the mean of its divisors is an integer number (290628).

Almost surely, 23712890 is an apocalyptic number.

3712890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3712890 is an abundant number, since it is smaller than the sum of its proper divisors (5587206).

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

3712890 is a wasteful number, since it uses less digits than its factorization.

3712890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5414.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 3712890 is about 1926.8860890047. The cubic root of 3712890 is about 154.8474392060.

The spelling of 3712890 in words is "three million, seven hundred twelve thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 5381 10762 16143 26905 32286 53810 80715 123763 161430 247526 371289 618815 742578 1237630 1856445 3712890