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55020 = 22357131
BaseRepresentation
bin1101011011101100
32210110210
431123230
53230040
61102420
7316260
oct153354
983423
1055020
1138379
1227a10
131c074
14160a0
1511480
hexd6ec

55020 has 48 divisors (see below), whose sum is σ = 177408. Its totient is φ = 12480.

The previous prime is 55009. The next prime is 55021. The reversal of 55020 is 2055.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 54987 and 55005.

It is not an unprimeable number, because it can be changed into a prime (55021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355 + ... + 485.

It is an arithmetic number, because the mean of its divisors is an integer number (3696).

255020 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 55020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88704).

55020 is an abundant number, since it is smaller than the sum of its proper divisors (122388).

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

55020 is a wasteful number, since it uses less digits than its factorization.

55020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 12.

The square root of 55020 is about 234.5634242588. The cubic root of 55020 is about 38.0341336883.

Adding to 55020 its reverse (2055), we get a palindrome (57075).

The spelling of 55020 in words is "fifty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 131 140 210 262 393 420 524 655 786 917 1310 1572 1834 1965 2620 2751 3668 3930 4585 5502 7860 9170 11004 13755 18340 27510 55020