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214940 = 22511977
BaseRepresentation
bin110100011110011100
3101220211202
4310132130
523334230
64335032
71553435
oct643634
9356752
10214940
11137540
12a4478
1376aab
145848c
1543a45
hex3479c

214940 has 24 divisors (see below), whose sum is σ = 492912. Its totient is φ = 78080.

The previous prime is 214939. The next prime is 214943. The reversal of 214940 is 49412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214943) 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, 269 + ... + 708.

It is an arithmetic number, because the mean of its divisors is an integer number (20538).

2214940 is an apocalyptic number.

214940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214940 is an abundant number, since it is smaller than the sum of its proper divisors (277972).

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

214940 is a wasteful number, since it uses less digits than its factorization.

214940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 214940 is about 463.6162205963. The cubic root of 214940 is about 59.9016908617.

It can be divided in two parts, 21 and 4940, that multiplied together give a triangular number (103740 = T455).

The spelling of 214940 in words is "two hundred fourteen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 977 1954 3908 4885 9770 10747 19540 21494 42988 53735 107470 214940