Search a number
-
+
6725352240 = 243454192477
BaseRepresentation
bin1100100001101110…
…01011101100110000
3122100200221021220000
412100313023230300
5102233142232430
63031203350000
7325442356635
oct62067135460
918320837800
106725352240
112941316752
121378382300
13832443789
1447b2a618c
15295666e60
hex190dcbb30

6725352240 has 200 divisors, whose sum is σ = 23423344560. Its totient is φ = 1788424704.

The previous prime is 6725352217. The next prime is 6725352253. The reversal of 6725352240 is 422535276.

6725352240 is a `hidden beast` number, since 67 + 2 + 5 + 352 + 240 = 666.

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 = 6725352195 and 6725352204.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2713882 + ... + 2716358.

Almost surely, 26725352240 is an apocalyptic number.

6725352240 is a gapful number since it is divisible by the number (60) 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 6725352240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11711672280).

6725352240 is an abundant number, since it is smaller than the sum of its proper divisors (16697992320).

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

6725352240 is a wasteful number, since it uses less digits than its factorization.

6725352240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2921 (or 2906 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 6725352240 is about 82008.2449513462. The cubic root of 6725352240 is about 1887.5784558123.

The spelling of 6725352240 in words is "six billion, seven hundred twenty-five million, three hundred fifty-two thousand, two hundred forty".