Search a number
-
+
2455712640 = 27345127373
BaseRepresentation
bin1001001001011111…
…0011001110000000
320100010212010110000
42102113303032000
520012130301030
61043402240000
7114566133033
oct22227631600
96303763400
102455712640
111050205287
125864b6000
133019c4304
1419420301a
15e58cd860
hex925f3380

2455712640 has 320 divisors, whose sum is σ = 8862543360. Its totient is φ = 647958528.

The previous prime is 2455712621. The next prime is 2455712641. The reversal of 2455712640 is 462175542.

It is a happy number.

2455712640 is a `hidden beast` number, since 2 + 4 + 5 + 5 + 7 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 2455712595 and 2455712604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2455712641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6583494 + ... + 6583866.

It is an arithmetic number, because the mean of its divisors is an integer number (27695448).

Almost surely, 22455712640 is an apocalyptic number.

2455712640 is a gapful number since it is divisible by the number (20) 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 2455712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4431271680).

2455712640 is an abundant number, since it is smaller than the sum of its proper divisors (6406830720).

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

2455712640 is a wasteful number, since it uses less digits than its factorization.

2455712640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2455712640 is about 49555.1474621961. The cubic root of 2455712640 is about 1349.1467200494.

The spelling of 2455712640 in words is "two billion, four hundred fifty-five million, seven hundred twelve thousand, six hundred forty".