Search a number
-
+
2076480 = 263257103
BaseRepresentation
bin111111010111101000000
310220111101200
413322331000
51012421410
6112301200
723435610
oct7727500
93814350
102076480
1111990aa
12841800
135791b3
143c0a40
152b03c0
hex1faf40

2076480 has 168 divisors, whose sum is σ = 8241792. Its totient is φ = 470016.

The previous prime is 2076469. The next prime is 2076539. The reversal of 2076480 is 846702.

It is a Cunningham number, because it is equal to 14412-1.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20109 + ... + 20211.

22076480 is an apocalyptic number.

2076480 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 2076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4120896).

2076480 is an abundant number, since it is smaller than the sum of its proper divisors (6165312).

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

2076480 is a wasteful number, since it uses less digits than its factorization.

2076480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2076480 is about 1440.9996530187. Note that the first 3 decimals coincide. The cubic root of 2076480 is about 127.5780375784.

It can be divided in two parts, 2076 and 480, that added together give a triangular number (2556 = T71).

The spelling of 2076480 in words is "two million, seventy-six thousand, four hundred eighty".