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33280000 = 2125413
BaseRepresentation
bin111111011110…
…1000000000000
32022121210120121
41332331000000
532004430000
63145150024
7552606145
oct176750000
968553517
1033280000
1117870836
12b18b314
136b82c10
1445c43cc
152dc5b1a
hex1fbd000

33280000 has 130 divisors (see below), whose sum is σ = 89560394. Its totient is φ = 12288000.

The previous prime is 33279997. The next prime is 33280007. The reversal of 33280000 is 8233.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 19501056 + 13778944 = 4416^2 + 3712^2 .

It is a tau number, because it is divible by the number of its divisors (130).

It is a super-2 number, since 2×332800002 = 2215116800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33280007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2559994 + ... + 2560006.

Almost surely, 233280000 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 33280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44780197).

33280000 is an abundant number, since it is smaller than the sum of its proper divisors (56280394).

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

33280000 is an frugal number, since it uses more digits than its factorization.

33280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 33280000 is about 5768.8820407424. The cubic root of 33280000 is about 321.6580606871.

Adding to 33280000 its reverse (8233), we get a palindrome (33288233).

The spelling of 33280000 in words is "thirty-three million, two hundred eighty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 200 208 250 256 260 320 325 400 416 500 512 520 625 640 650 800 832 1000 1024 1040 1250 1280 1300 1600 1625 1664 2000 2048 2080 2500 2560 2600 3200 3250 3328 4000 4096 4160 5000 5120 5200 6400 6500 6656 8000 8125 8320 10000 10240 10400 12800 13000 13312 16000 16250 16640 20000 20480 20800 25600 26000 26624 32000 32500 33280 40000 41600 51200 52000 53248 64000 65000 66560 80000 83200 102400 104000 128000 130000 133120 160000 166400 208000 256000 260000 266240 320000 332800 416000 512000 520000 640000 665600 832000 1040000 1280000 1331200 1664000 2080000 2560000 3328000 4160000 6656000 8320000 16640000 33280000