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20148 = 2232373
BaseRepresentation
bin100111010110100
31000122020
410322310
51121043
6233140
7112512
oct47264
930566
1020148
1114157
12b7b0
13922b
1474b2
155e83
hex4eb4

20148 has 24 divisors (see below), whose sum is σ = 49728. Its totient is φ = 6336.

The previous prime is 20147. The next prime is 20149. The reversal of 20148 is 84102.

20148 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (20147) and next prime (20149).

20148 is a modest number, since divided by 148 gives 20 as remainder.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 20148.

It is not an unprimeable number, because it can be changed into a prime (20143) 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, 240 + ... + 312.

It is an arithmetic number, because the mean of its divisors is an integer number (2072).

220148 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 20148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24864).

20148 is an abundant number, since it is smaller than the sum of its proper divisors (29580).

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

20148 is a wasteful number, since it uses less digits than its factorization.

20148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 20148 is about 141.9436507914. The cubic root of 20148 is about 27.2109673189.

The spelling of 20148 in words is "twenty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 73 92 138 146 219 276 292 438 876 1679 3358 5037 6716 10074 20148