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21314394 = 233735407
BaseRepresentation
bin101000101001…
…1101101011010
31111002212212000
41101103231122
520424030034
62040501430
7346112043
oct121235532
944085760
1021314394
1111038902
12717a876
13455378a
142b8b8ca
151d10599
hex1453b5a

21314394 has 32 divisors (see below), whose sum is σ = 48023040. Its totient is φ = 7006176.

The previous prime is 21314393. The next prime is 21314401. The reversal of 21314394 is 49341312.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21314393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1239 + ... + 6645.

It is an arithmetic number, because the mean of its divisors is an integer number (1500720).

Almost surely, 221314394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21314394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24011520).

21314394 is an abundant number, since it is smaller than the sum of its proper divisors (26708646).

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

21314394 is a wasteful number, since it uses less digits than its factorization.

21314394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5491 (or 5485 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 21314394 is about 4616.7514552984. The cubic root of 21314394 is about 277.2624116886.

The spelling of 21314394 in words is "twenty-one million, three hundred fourteen thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 54 73 146 219 438 657 1314 1971 3942 5407 10814 16221 32442 48663 97326 145989 291978 394711 789422 1184133 2368266 3552399 7104798 10657197 21314394