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55527120 = 24345111941
BaseRepresentation
bin1101001111010…
…0011011010000
310212111001220000
43103310123100
5103203331440
65302050000
71242654435
oct323643320
9125431800
1055527120
1129386390
1216719900
13b6720ac
147535b8c
154d1c730
hex34f46d0

55527120 has 400 divisors, whose sum is σ = 226860480. Its totient is φ = 12441600.

The previous prime is 55527113. The next prime is 55527167. The reversal of 55527120 is 2172555.

It is a happy number.

55527120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×555271202 = 6166522110988800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1354300 + ... + 1354340.

Almost surely, 255527120 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 55527120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113430240).

55527120 is an abundant number, since it is smaller than the sum of its proper divisors (171333360).

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

55527120 is a wasteful number, since it uses less digits than its factorization.

55527120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 55527120 is about 7451.6521657952. The cubic root of 55527120 is about 381.5063019033.

Adding to 55527120 its reverse (2172555), we get a palindrome (57699675).

The spelling of 55527120 in words is "fifty-five million, five hundred twenty-seven thousand, one hundred twenty".