Search a number
-
+
21620592 = 2432789241
BaseRepresentation
bin101001001111…
…0011101110000
31111200102212200
41102132131300
521013324332
62051223200
7351525540
oct122363560
944612780
1021620592
1111227964
1272a7b00
13462cc66
142c2b320
151d7117c
hex149e770

21620592 has 120 divisors (see below), whose sum is σ = 70218720. Its totient is φ = 6082560.

The previous prime is 21620591. The next prime is 21620593. The reversal of 21620592 is 29502612.

It is an interprime number because it is at equal distance from previous prime (21620591) and next prime (21620593).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21620591) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 89592 + ... + 89832.

It is an arithmetic number, because the mean of its divisors is an integer number (585156).

Almost surely, 221620592 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 21620592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35109360).

21620592 is an abundant number, since it is smaller than the sum of its proper divisors (48598128).

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

21620592 is a wasteful number, since it uses less digits than its factorization.

21620592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 21620592 is about 4649.7948341835. The cubic root of 21620592 is about 278.5838015355.

The spelling of 21620592 in words is "twenty-one million, six hundred twenty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 89 112 126 144 168 178 241 252 267 336 356 482 504 534 623 712 723 801 964 1008 1068 1246 1424 1446 1602 1687 1869 1928 2136 2169 2492 2892 3204 3374 3738 3856 4272 4338 4984 5061 5607 5784 6408 6748 7476 8676 9968 10122 11214 11568 12816 13496 14952 15183 17352 20244 21449 22428 26992 29904 30366 34704 40488 42898 44856 60732 64347 80976 85796 89712 121464 128694 150143 171592 193041 242928 257388 300286 343184 386082 450429 514776 600572 772164 900858 1029552 1201144 1351287 1544328 1801716 2402288 2702574 3088656 3603432 5405148 7206864 10810296 21620592