Search a number
-
+
21479424 = 21431923
BaseRepresentation
bin101000111110…
…0000000000000
31111102021020020
41101330000000
520444320144
62044213440
7350400141
oct121740000
944367206
1021479424
111114089a
12723a280
1345b0925
142bd1ac8
151d44419
hex147c000

21479424 has 120 divisors (see below), whose sum is σ = 62912640. Its totient is φ = 6488064.

The previous prime is 21479407. The next prime is 21479429. The reversal of 21479424 is 42497412.

It is a super-2 number, since 2×214794242 = 922731310743552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21479429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 933877 + ... + 933899.

It is an arithmetic number, because the mean of its divisors is an integer number (524272).

Almost surely, 221479424 is an apocalyptic number.

21479424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21479424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31456320).

21479424 is an abundant number, since it is smaller than the sum of its proper divisors (41433216).

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

21479424 is an equidigital number, since it uses as much as digits as its factorization.

21479424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 47 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 21479424 is about 4634.5899494993. The cubic root of 21479424 is about 277.9761551586.

The spelling of 21479424 in words is "twenty-one million, four hundred seventy-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 64 69 76 92 96 114 128 138 152 184 192 228 256 276 304 368 384 437 456 512 552 608 736 768 874 912 1024 1104 1216 1311 1472 1536 1748 1824 2048 2208 2432 2622 2944 3072 3496 3648 4096 4416 4864 5244 5888 6144 6992 7296 8192 8832 9728 10488 11776 12288 13984 14592 16384 17664 19456 20976 23552 24576 27968 29184 35328 38912 41952 47104 49152 55936 58368 70656 77824 83904 94208 111872 116736 141312 155648 167808 188416 223744 233472 282624 311296 335616 376832 447488 466944 565248 671232 894976 933888 1130496 1342464 1789952 2684928 3579904 5369856 7159808 10739712 21479424