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2836480 = 2115277
BaseRepresentation
bin1010110100100000000000
312100002220211
422310200000
51211231410
6140443504
733052423
oct12644000
95302824
102836480
1116680a9
12b49594
137840ba
1453b9ba
153b068a
hex2b4800

2836480 has 48 divisors (see below), whose sum is σ = 6830460. Its totient is φ = 1130496.

The previous prime is 2836447. The next prime is 2836481. The reversal of 2836480 is 846382.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2663424 + 173056 = 1632^2 + 416^2 .

It is not an unprimeable number, because it can be changed into a prime (2836481) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10102 + ... + 10378.

22836480 is an apocalyptic number.

2836480 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 2836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3415230).

2836480 is an abundant number, since it is smaller than the sum of its proper divisors (3993980).

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

2836480 is an equidigital number, since it uses as much as digits as its factorization.

2836480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 2836480 is about 1684.1852629684. The cubic root of 2836480 is about 141.5554436509. Note that the first 3 decimals are identical.

The spelling of 2836480 in words is "two million, eight hundred thirty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 277 320 512 554 640 1024 1108 1280 1385 2048 2216 2560 2770 4432 5120 5540 8864 10240 11080 17728 22160 35456 44320 70912 88640 141824 177280 283648 354560 567296 709120 1418240 2836480