Search a number
-
+
3138064 = 241783139
BaseRepresentation
bin1011111110001000010000
312220102121121
423332020100
51300404224
6151132024
735446606
oct13761020
95812547
103138064
111853746
121074014
1385b457
145b9876
1541ebe4
hex2fe210

3138064 has 40 divisors (see below), whose sum is σ = 6562080. Its totient is φ = 1448448.

The previous prime is 3138041. The next prime is 3138067. The reversal of 3138064 is 4608313.

It is not an unprimeable number, because it can be changed into a prime (3138067) 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, 22507 + ... + 22645.

It is an arithmetic number, because the mean of its divisors is an integer number (164052).

Almost surely, 23138064 is an apocalyptic number.

3138064 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3138064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281040).

3138064 is an abundant number, since it is smaller than the sum of its proper divisors (3424016).

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

3138064 is a wasteful number, since it uses less digits than its factorization.

3138064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 3138064 is about 1771.4581564350. The cubic root of 3138064 is about 146.4043336331.

The spelling of 3138064 in words is "three million, one hundred thirty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 17 34 68 83 136 139 166 272 278 332 556 664 1112 1328 1411 2224 2363 2822 4726 5644 9452 11288 11537 18904 22576 23074 37808 46148 92296 184592 196129 392258 784516 1569032 3138064