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21354032 = 247375153
BaseRepresentation
bin101000101110…
…1011000110000
31111011220020002
41101131120300
520431312112
62041405132
7346335440
oct121353060
944156202
1021354032
1111065667
1271997a8
13456882b
142b9c120
151d1c1c2
hex145d630

21354032 has 40 divisors (see below), whose sum is σ = 48571296. Its totient is φ = 8902656.

The previous prime is 21354019. The next prime is 21354049. The reversal of 21354032 is 23045312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21353995 and 21354013.

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 7 ways as a sum of consecutive naturals, for example, 1568 + ... + 6720.

Almost surely, 221354032 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 21354032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24285648).

21354032 is an abundant number, since it is smaller than the sum of its proper divisors (27217264).

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

21354032 is a wasteful number, since it uses less digits than its factorization.

21354032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5205 (or 5199 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 21354032 is about 4621.0423066663. The cubic root of 21354032 is about 277.4341785830.

Adding to 21354032 its reverse (23045312), we get a palindrome (44399344).

It can be divided in two parts, 213 and 54032, that added together give a palindrome (54245).

The spelling of 21354032 in words is "twenty-one million, three hundred fifty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 592 1036 2072 4144 5153 10306 20612 36071 41224 72142 82448 144284 190661 288568 381322 577136 762644 1334627 1525288 2669254 3050576 5338508 10677016 21354032