Search a number
-
+
20871948 = 22323471609
BaseRepresentation
bin100111110011…
…1101100001100
31110021101221010
41033213230030
520320400243
62023205220
7342260106
oct117475414
943241833
1020871948
1110866449
126ba6810
13442a286
142ab4576
151c74433
hex13e7b0c

20871948 has 48 divisors (see below), whose sum is σ = 51932160. Its totient is φ = 6509184.

The previous prime is 20871923. The next prime is 20871973. The reversal of 20871948 is 84917802.

It is an interprime number because it is at equal distance from previous prime (20871923) and next prime (20871973).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12168 + ... + 13776.

It is an arithmetic number, because the mean of its divisors is an integer number (1081920).

Almost surely, 220871948 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 20871948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25966080).

20871948 is an abundant number, since it is smaller than the sum of its proper divisors (31060212).

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

20871948 is a wasteful number, since it uses less digits than its factorization.

20871948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 20871948 is about 4568.5827123956. The cubic root of 20871948 is about 275.3305029085.

The spelling of 20871948 in words is "twenty million, eight hundred seventy-one thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 23 46 47 69 92 94 138 141 188 276 282 564 1081 1609 2162 3218 3243 4324 4827 6436 6486 9654 12972 19308 37007 74014 75623 111021 148028 151246 222042 226869 302492 444084 453738 907476 1739329 3478658 5217987 6957316 10435974 20871948