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21934672 = 2429411153
BaseRepresentation
bin101001110101…
…1001001010000
31112021101201021
41103223021100
521103402142
62102045224
7354304324
oct123531120
945241637
1021934672
1111421931
127419814
13470cbc6
142cad984
151dd4267
hex14eb250

21934672 has 40 divisors (see below), whose sum is σ = 45075240. Its totient is φ = 10321920.

The previous prime is 21934667. The next prime is 21934681. The reversal of 21934672 is 27643912.

It can be written as a sum of positive squares in 4 ways, for example, as 1648656 + 20286016 = 1284^2 + 4504^2 .

It is a super-2 number, since 2×219346722 = 962259671495168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

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, 18448 + ... + 19600.

It is an arithmetic number, because the mean of its divisors is an integer number (1126881).

Almost surely, 221934672 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 21934672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22537620).

21934672 is an abundant number, since it is smaller than the sum of its proper divisors (23140568).

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

21934672 is a wasteful number, since it uses less digits than its factorization.

21934672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1225 counting only the distinct ones).

The product of its digits is 18144, while the sum is 34.

The square root of 21934672 is about 4683.4465941228. The cubic root of 21934672 is about 279.9263071372.

The spelling of 21934672 in words is "twenty-one million, nine hundred thirty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 29 41 58 82 116 164 232 328 464 656 1153 1189 2306 2378 4612 4756 9224 9512 18448 19024 33437 47273 66874 94546 133748 189092 267496 378184 534992 756368 1370917 2741834 5483668 10967336 21934672