Search a number
-
+
21439296 = 263319653
BaseRepresentation
bin101000111001…
…0001101000000
31111100020012000
41101302031000
520442024141
62043304000
7350142144
oct121621500
944306160
1021439296
111111372a
12721b000
134598598
142bc1224
151d375b6
hex1472340

21439296 has 112 divisors (see below), whose sum is σ = 66446400. Its totient is φ = 6759936.

The previous prime is 21439291. The next prime is 21439307. The reversal of 21439296 is 69293412.

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 21439296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21439291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32506 + ... + 33158.

Almost surely, 221439296 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 21439296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33223200).

21439296 is an abundant number, since it is smaller than the sum of its proper divisors (45007104).

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

21439296 is a wasteful number, since it uses less digits than its factorization.

21439296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 677 counting only the distinct ones).

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

The square root of 21439296 is about 4630.2587400706. The cubic root of 21439296 is about 277.8029416255.

The spelling of 21439296 in words is "twenty-one million, four hundred thirty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 653 684 864 912 1026 1216 1306 1368 1728 1824 1959 2052 2612 2736 3648 3918 4104 5224 5472 5877 7836 8208 10448 10944 11754 12407 15672 16416 17631 20896 23508 24814 31344 32832 35262 37221 41792 47016 49628 62688 70524 74442 94032 99256 111663 125376 141048 148884 188064 198512 223326 282096 297768 334989 376128 397024 446652 564192 595536 669978 794048 893304 1128384 1191072 1339956 1786608 2382144 2679912 3573216 5359824 7146432 10719648 21439296