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5120080 = 245741223
BaseRepresentation
bin10011100010000001010000
3100122010102121
4103202001100
52302320310
6301424024
761343230
oct23420120
910563377
105120080
112987879
12186b014
1310a3644
14973cc0
156b20da
hex4e2050

5120080 has 80 divisors (see below), whose sum is σ = 13999104. Its totient is φ = 1704960.

The previous prime is 5120051. The next prime is 5120113. The reversal of 5120080 is 800215.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22849 + ... + 23071.

Almost surely, 25120080 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 5120080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6999552).

5120080 is an abundant number, since it is smaller than the sum of its proper divisors (8879024).

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

5120080 is a wasteful number, since it uses less digits than its factorization.

5120080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 5120080 is about 2262.7593773974. The cubic root of 5120080 is about 172.3556728790.

Adding to 5120080 its reverse (800215), we get a palindrome (5920295).

It can be divided in two parts, 51200 and 80, that multiplied together give a cube (4096000 = 1603).

The spelling of 5120080 in words is "five million, one hundred twenty thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 223 280 287 328 410 446 560 574 656 820 892 1115 1148 1435 1561 1640 1784 2230 2296 2870 3122 3280 3568 4460 4592 5740 6244 7805 8920 9143 11480 12488 15610 17840 18286 22960 24976 31220 36572 45715 62440 64001 73144 91430 124880 128002 146288 182860 256004 320005 365720 512008 640010 731440 1024016 1280020 2560040 5120080