Search a number
-
+
21771414 = 23271311319
BaseRepresentation
bin101001100001…
…1010010010110
31111222002202200
41103003102112
521033141124
62054345330
7353024340
oct123032226
944862680
1021771414
1111320205
12735b246
1346837c2
142c6a290
151da0bc9
hex14c3496

21771414 has 48 divisors (see below), whose sum is σ = 54362880. Its totient is φ = 6168240.

The previous prime is 21771391. The next prime is 21771427. The reversal of 21771414 is 41417712.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15847 + ... + 17165.

It is an arithmetic number, because the mean of its divisors is an integer number (1132560).

Almost surely, 221771414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21771414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27181440).

21771414 is an abundant number, since it is smaller than the sum of its proper divisors (32591466).

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

21771414 is a wasteful number, since it uses less digits than its factorization.

21771414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1462 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 21771414 is about 4665.9847835157. The cubic root of 21771414 is about 279.2300873015.

It can be divided in two parts, 217 and 71414, that added together give a triangular number (71631 = T378).

The spelling of 21771414 in words is "twenty-one million, seven hundred seventy-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 131 262 393 786 917 1179 1319 1834 2358 2638 2751 3957 5502 7914 8253 9233 11871 16506 18466 23742 27699 55398 83097 166194 172789 345578 518367 1036734 1209523 1555101 2419046 3110202 3628569 7257138 10885707 21771414