Search a number
-
+
3147056640 = 293257131979
BaseRepresentation
bin1011101110010100…
…0100011000000000
322010022202001010100
42323211010120000
522421121303030
61240140202400
7140662353150
oct27345043000
98108661110
103147056640
111375482262
12739b39400
133b1cc27c0
1421bd66760
15136441360
hexbb944600

3147056640 has 960 divisors, whose sum is σ = 14299084800. Its totient is φ = 621084672.

The previous prime is 3147056617. The next prime is 3147056641. The reversal of 3147056640 is 466507413.

It is a happy number.

3147056640 is a `hidden beast` number, since 3 + 1 + 4 + 7 + 0 + 5 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3147056595 and 3147056604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3147056641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39836121 + ... + 39836199.

It is an arithmetic number, because the mean of its divisors is an integer number (14894880).

Almost surely, 23147056640 is an apocalyptic number.

3147056640 is a gapful number since it is divisible by the number (30) 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 3147056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7149542400).

3147056640 is an abundant number, since it is smaller than the sum of its proper divisors (11152028160).

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

3147056640 is a wasteful number, since it uses less digits than its factorization.

3147056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3147056640 is about 56098.6331384286. The cubic root of 3147056640 is about 1465.4404884782.

The spelling of 3147056640 in words is "three billion, one hundred forty-seven million, fifty-six thousand, six hundred forty".