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55278120 = 23352771663
BaseRepresentation
bin1101001011011…
…1101000101000
310212000102022210
43102313220220
5103122344440
65252445120
71240566462
oct322675050
9125012283
1055278120
11292262a7
12166197a0
13b5b5961
1474ad132
154cbda80
hex34b7a28

55278120 has 64 divisors (see below), whose sum is σ = 166533120. Its totient is φ = 14678784.

The previous prime is 55278109. The next prime is 55278121. The reversal of 55278120 is 2187255.

55278120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (55278121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32409 + ... + 34071.

It is an arithmetic number, because the mean of its divisors is an integer number (2602080).

Almost surely, 255278120 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 55278120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83266560).

55278120 is an abundant number, since it is smaller than the sum of its proper divisors (111255000).

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

55278120 is a wasteful number, since it uses less digits than its factorization.

55278120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 55278120 is about 7434.9256889360. The cubic root of 55278120 is about 380.9351850671.

The spelling of 55278120 in words is "fifty-five million, two hundred seventy-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 277 554 831 1108 1385 1662 1663 2216 2770 3324 3326 4155 4989 5540 6648 6652 8310 8315 9978 11080 13304 16620 16630 19956 24945 33240 33260 39912 49890 66520 99780 199560 460651 921302 1381953 1842604 2303255 2763906 3685208 4606510 5527812 6909765 9213020 11055624 13819530 18426040 27639060 55278120