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21114324 = 22337112539
BaseRepresentation
bin101000010001…
…0110111010100
31110201201102000
41100202313110
520401124244
62032315300
7344316540
oct120426724
943651360
1021114324
1110a11560
1270a2b30
1344b36aa
142b38a20
151cc1169
hex1422dd4

21114324 has 96 divisors (see below), whose sum is σ = 68275200. Its totient is φ = 5482080.

The previous prime is 21114319. The next prime is 21114337. The reversal of 21114324 is 42341112.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a junction number, because it is equal to n+sod(n) for n = 21114297 and 21114306.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7047 + ... + 9585.

It is an arithmetic number, because the mean of its divisors is an integer number (711200).

Almost surely, 221114324 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 21114324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34137600).

21114324 is an abundant number, since it is smaller than the sum of its proper divisors (47160876).

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

21114324 is a wasteful number, since it uses less digits than its factorization.

21114324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2562 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 21114324 is about 4595.0325352493. The cubic root of 21114324 is about 276.3921646319.

Adding to 21114324 its reverse (42341112), we get a palindrome (63455436).

It can be divided in two parts, 211 and 14324, that added together give a triangular number (14535 = T170).

The spelling of 21114324 in words is "twenty-one million, one hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2539 2772 4158 5078 7617 8316 10156 15234 17773 22851 27929 30468 35546 45702 53319 55858 68553 71092 83787 91404 106638 111716 137106 159957 167574 195503 213276 251361 274212 319914 335148 391006 479871 502722 586509 639828 754083 782012 959742 1005444 1173018 1508166 1759527 1919484 2346036 3016332 3519054 5278581 7038108 10557162 21114324