Search a number
-
+
2076054408 = 233336726189
BaseRepresentation
bin111101110111110…
…0001001110001000
312100200110111021000
41323233201032020
513222432220113
6542001015000
7102306112521
oct17357411610
95320414230
102076054408
1197597344a
1249b324460
1327115587c
14159a15848
15c23d7373
hex7bbe1388

2076054408 has 64 divisors (see below), whose sum is σ = 5782752000. Its totient is φ = 690106176.

The previous prime is 2076054401. The next prime is 2076054457. The reversal of 2076054408 is 8044506702.

2076054408 is a `hidden beast` number, since 2 + 0 + 7 + 605 + 4 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2076054401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66178 + ... + 92366.

It is an arithmetic number, because the mean of its divisors is an integer number (90355500).

Almost surely, 22076054408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2076054408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2891376000).

2076054408 is an abundant number, since it is smaller than the sum of its proper divisors (3706697592).

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

2076054408 is a wasteful number, since it uses less digits than its factorization.

2076054408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26571 (or 26561 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2076054408 is about 45563.7400571990. The cubic root of 2076054408 is about 1275.6932091975.

The spelling of 2076054408 in words is "two billion, seventy-six million, fifty-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 367 734 1101 1468 2202 2936 3303 4404 6606 8808 9909 13212 19818 26189 26424 39636 52378 78567 79272 104756 157134 209512 235701 314268 471402 628536 707103 942804 1414206 1885608 2828412 5656824 9611363 19222726 28834089 38445452 57668178 76890904 86502267 115336356 173004534 230672712 259506801 346009068 519013602 692018136 1038027204 2076054408