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21920832 = 2632192003
BaseRepresentation
bin101001110011…
…1110001000000
31112020200201200
41103213301000
521102431312
62101501200
7354216063
oct123476100
945220650
1021920832
111141249a
127411800
13470680b
142ca88da
151dd00dc
hex14e7c40

21920832 has 84 divisors (see below), whose sum is σ = 66172080. Its totient is φ = 6918912.

The previous prime is 21920831. The next prime is 21920869. The reversal of 21920832 is 23802912.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21920796 and 21920805.

It is not an unprimeable number, because it can be changed into a prime (21920831) 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, 9943 + ... + 11945.

Almost surely, 221920832 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 21920832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33086040).

21920832 is an abundant number, since it is smaller than the sum of its proper divisors (44251248).

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

21920832 is a wasteful number, since it uses less digits than its factorization.

21920832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 21920832 is about 4681.9688166411. The cubic root of 21920832 is about 279.8674202267.

The spelling of 21920832 in words is "twenty-one million, nine hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2003 2736 3648 4006 5472 6009 8012 10944 12018 16024 18027 24036 32048 36054 38057 48072 64096 72108 76114 96144 114171 128192 144216 152228 192288 228342 288432 304456 342513 384576 456684 576864 608912 685026 913368 1153728 1217824 1370052 1826736 2435648 2740104 3653472 5480208 7306944 10960416 21920832