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55120600 = 23521971399
BaseRepresentation
bin1101001001000…
…1001011011000
310211201102020201
43102101023120
5103102324400
65245231544
71236342313
oct322211330
9124642221
1055120600
1129128a17
12165625b4
13b55c052
14746b97a
154c8c06a
hex34912d8

55120600 has 48 divisors (see below), whose sum is σ = 128898000. Its totient is φ = 21920640.

The previous prime is 55120547. The next prime is 55120601. The reversal of 55120600 is 602155.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55120601) 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 11 ways as a sum of consecutive naturals, for example, 38701 + ... + 40099.

It is an arithmetic number, because the mean of its divisors is an integer number (2685375).

Almost surely, 255120600 is an apocalyptic number.

55120600 is a gapful number since it is divisible by the number (50) 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 55120600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64449000).

55120600 is an abundant number, since it is smaller than the sum of its proper divisors (73777400).

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

55120600 is a wasteful number, since it uses less digits than its factorization.

55120600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 55120600 is about 7424.3248851327. The cubic root of 55120600 is about 380.5730044114.

Adding to 55120600 its reverse (602155), we get a palindrome (55722755).

The spelling of 55120600 in words is "fifty-five million, one hundred twenty thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 197 200 394 788 985 1399 1576 1970 2798 3940 4925 5596 6995 7880 9850 11192 13990 19700 27980 34975 39400 55960 69950 139900 275603 279800 551206 1102412 1378015 2204824 2756030 5512060 6890075 11024120 13780150 27560300 55120600