Search a number
-
+
2074984704 = 2832132732
BaseRepresentation
bin111101110101101…
…1100000100000000
312100121110010220100
41323223130010000
513222144002304
6541522042400
7102264036042
oct17353340400
95317403810
102074984704
119753027a1
1249aaa9400
13270b6ca00
14159817a92
15c2275439
hex7badc100

2074984704 has 243 divisors, whose sum is σ = 6568259607. Its totient is φ = 629710848.

The previous prime is 2074984673. The next prime is 2074984799. The reversal of 2074984704 is 4074894702.

The square root of 2074984704 is 45552.

It is a perfect power (a square), and thus also a powerful number.

2074984704 is a `hidden beast` number, since 20 + 74 + 98 + 470 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 208744704 + 1866240000 = 14448^2 + 43200^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2074984704.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28424412 + ... + 28424484.

Almost surely, 22074984704 is an apocalyptic number.

2074984704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2074984704 is the 45552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2074984704

2074984704 is an abundant number, since it is smaller than the sum of its proper divisors (4493274903).

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

2074984704 is an equidigital number, since it uses as much as digits as its factorization.

2074984704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The cubic root of 2074984704 is about 1275.4740677713.

Multiplying 2074984704 by its product of nonzero digits (451584), we get a square (937029892571136 = 306109442).

The spelling of 2074984704 in words is "two billion, seventy-four million, nine hundred eighty-four thousand, seven hundred four".