Search a number
-
+
2159047680 = 210352937131
BaseRepresentation
bin1000000010110000…
…0111010000000000
312120110121222121220
42000230013100000
513410204011210
6554123515040
7104334413436
oct20054072000
95513558556
102159047680
11a087a9529
12503088a80
132853c350a
14166a5ad56
15c982cc70
hex80b07400

2159047680 has 352 divisors, whose sum is σ = 7392781440. Its totient is φ = 536739840.

The previous prime is 2159047661. The next prime is 2159047703. The reversal of 2159047680 is 867409512.

It is a super-2 number, since 2×21590476802 = 9322973769026764800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16481215 + ... + 16481345.

It is an arithmetic number, because the mean of its divisors is an integer number (21002220).

Almost surely, 22159047680 is an apocalyptic number.

2159047680 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 2159047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696390720).

2159047680 is an abundant number, since it is smaller than the sum of its proper divisors (5233733760).

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

2159047680 is a wasteful number, since it uses less digits than its factorization.

2159047680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 2159047680 is about 46465.5536930316. The cubic root of 2159047680 is about 1292.4708128299.

The spelling of 2159047680 in words is "two billion, one hundred fifty-nine million, forty-seven thousand, six hundred eighty".