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54012 = 2237643
BaseRepresentation
bin1101001011111100
32202002110
431023330
53212022
61054020
7313320
oct151374
982073
1054012
1137642
1227310
131b77a
1415980
151100c
hexd2fc

54012 has 24 divisors (see below), whose sum is σ = 144256. Its totient is φ = 15408.

The previous prime is 54011. The next prime is 54013. The reversal of 54012 is 21045.

It is an interprime number because it is at equal distance from previous prime (54011) and next prime (54013).

It is a super-2 number, since 2×540122 = 5834592288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238 + ... + 405.

254012 is an apocalyptic number.

It is an amenable number.

54012 is an abundant number, since it is smaller than the sum of its proper divisors (90244).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72128).

54012 is a wasteful number, since it uses less digits than its factorization.

54012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 54012 is about 232.4048192271. The cubic root of 54012 is about 37.8004311140.

Adding to 54012 its reverse (21045), we get a palindrome (75057).

The spelling of 54012 in words is "fifty-four thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 643 1286 1929 2572 3858 4501 7716 9002 13503 18004 27006 54012