Search a number
-
+
21983340 = 22353153223
BaseRepresentation
bin101001111011…
…1000001101100
31112100212110210
41103313001230
521111431330
62103102420
7354566241
oct123670154
945325423
1021983340
1111455455
127441a10
1347290c2
142cc35c8
151de38b0
hex14f706c

21983340 has 96 divisors (see below), whose sum is σ = 65028096. Its totient is φ = 5541120.

The previous prime is 21983327. The next prime is 21983369. The reversal of 21983340 is 4338912.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 21983298 and 21983307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98469 + ... + 98691.

It is an arithmetic number, because the mean of its divisors is an integer number (677376).

Almost surely, 221983340 is an apocalyptic number.

21983340 is a gapful number since it is divisible by the number (20) 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 21983340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32514048).

21983340 is an abundant number, since it is smaller than the sum of its proper divisors (43044756).

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

21983340 is a wasteful number, since it uses less digits than its factorization.

21983340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 21983340 is about 4688.6394615069. The cubic root of 21983340 is about 280.1331849385.

The spelling of 21983340 in words is "twenty-one million, nine hundred eighty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 53 60 62 93 106 124 155 159 186 212 223 265 310 318 372 446 465 530 620 636 669 795 892 930 1060 1115 1338 1590 1643 1860 2230 2676 3180 3286 3345 4460 4929 6572 6690 6913 8215 9858 11819 13380 13826 16430 19716 20739 23638 24645 27652 32860 34565 35457 41478 47276 49290 59095 69130 70914 82956 98580 103695 118190 138260 141828 177285 207390 236380 354570 366389 414780 709140 732778 1099167 1465556 1831945 2198334 3663890 4396668 5495835 7327780 10991670 21983340