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2990080 = 213573
BaseRepresentation
bin1011011010000000000000
312121220121201
423122000000
51231140310
6144030544
734262302
oct13320000
95556551
102990080
111762545
121002454
13808ca2
1457b972
153e0e3a
hex2da000

2990080 has 56 divisors (see below), whose sum is σ = 7274052. Its totient is φ = 1179648.

The previous prime is 2990063. The next prime is 2990083. The reversal of 2990080 is 800992.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2985984 + 4096 = 1728^2 + 64^2 .

It is not an unprimeable number, because it can be changed into a prime (2990083) 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, 40924 + ... + 40996.

22990080 is an apocalyptic number.

2990080 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 2990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3637026).

2990080 is an abundant number, since it is smaller than the sum of its proper divisors (4283972).

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

2990080 is an frugal number, since it uses more digits than its factorization.

2990080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 2990080 is about 1729.1847790216. The cubic root of 2990080 is about 144.0658135375.

It can be divided in two parts, 29 and 90080, that added together give a palindrome (90109).

The spelling of 2990080 in words is "two million, nine hundred ninety thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 128 146 160 256 292 320 365 512 584 640 730 1024 1168 1280 1460 2048 2336 2560 2920 4096 4672 5120 5840 8192 9344 10240 11680 18688 20480 23360 37376 40960 46720 74752 93440 149504 186880 299008 373760 598016 747520 1495040 2990080