Search a number
-
+
2117456640 = 28345131571
BaseRepresentation
bin111111000110101…
…1101001100000000
312110120100221110000
41332031131030000
513314032103030
6550040240000
7103321040655
oct17615351400
95416327400
102117456640
11997281572
124b1170000
132798c0730
14161311c2c
15c5d64860
hex7e35d300

2117456640 has 360 divisors, whose sum is σ = 8164659888. Its totient is φ = 520888320.

The previous prime is 2117456633. The next prime is 2117456647. The reversal of 2117456640 is 466547112.

2117456640 is a `hidden beast` number, since 2 + 1 + 1 + 7 + 4 + 5 + 6 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2117456633) and next prime (2117456647).

It is a tau number, because it is divible by the number of its divisors (360).

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 = 2117456595 and 2117456604.

It is not an unprimeable number, because it can be changed into a prime (2117456647) 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, 1347055 + ... + 1348625.

Almost surely, 22117456640 is an apocalyptic number.

2117456640 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 2117456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082329944).

2117456640 is an abundant number, since it is smaller than the sum of its proper divisors (6047203248).

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

2117456640 is a wasteful number, since it uses less digits than its factorization.

2117456640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2117456640 is about 46015.8303195759. The cubic root of 2117456640 is about 1284.1177287458.

The spelling of 2117456640 in words is "two billion, one hundred seventeen million, four hundred fifty-six thousand, six hundred forty".