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21349296 = 2432374007
BaseRepresentation
bin101000101110…
…0001110110000
31111011122201200
41101130032300
520431134141
62041331200
7346315563
oct121341660
944148650
1021349296
1111062051
127196b00
134566627
142b9a4da
151d1aab6
hex145c3b0

21349296 has 60 divisors (see below), whose sum is σ = 61378512. Its totient is φ = 6922368.

The previous prime is 21349291. The next prime is 21349309. The reversal of 21349296 is 69294312.

21349296 is a `hidden beast` number, since 21 + 349 + 296 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21349296.

It is not an unprimeable number, because it can be changed into a prime (21349291) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3325 + ... + 7331.

Almost surely, 221349296 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 21349296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30689256).

21349296 is an abundant number, since it is smaller than the sum of its proper divisors (40029216).

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

21349296 is a wasteful number, since it uses less digits than its factorization.

21349296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4058 (or 4049 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 21349296 is about 4620.5298397478. The cubic root of 21349296 is about 277.4136668373.

The spelling of 21349296 in words is "twenty-one million, three hundred forty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 4007 5328 8014 12021 16028 24042 32056 36063 48084 64112 72126 96168 144252 148259 192336 288504 296518 444777 577008 593036 889554 1186072 1334331 1779108 2372144 2668662 3558216 5337324 7116432 10674648 21349296