[go: up one dir, main page]

Search a number
-
+
21697848 = 23331719311
BaseRepresentation
bin101001011000…
…1010100111000
31111211100212000
41102301110320
521023312343
62053021000
7352300014
oct122612470
944740760
1021697848
111127aa07
127324760
134659183
142c4b544
151d88ed3
hex14b1538

21697848 has 128 divisors (see below), whose sum is σ = 67392000. Its totient is φ = 6428160.

The previous prime is 21697847. The next prime is 21697853. The reversal of 21697848 is 84879612.

It is a super-2 number, since 2×216978482 = 941593215662208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21697847) by changing a digit.

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, 69613 + ... + 69923.

It is an arithmetic number, because the mean of its divisors is an integer number (526500).

Almost surely, 221697848 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 21697848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33696000).

21697848 is an abundant number, since it is smaller than the sum of its proper divisors (45694152).

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

21697848 is a wasteful number, since it uses less digits than its factorization.

21697848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 352 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 21697848 is about 4658.0948895444. The cubic root of 21697848 is about 278.9152245612.

The spelling of 21697848 in words is "twenty-one million, six hundred ninety-seven thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 27 34 36 38 51 54 57 68 72 76 102 108 114 136 152 153 171 204 216 228 306 311 323 342 408 456 459 513 612 622 646 684 918 933 969 1026 1224 1244 1292 1368 1836 1866 1938 2052 2488 2584 2799 2907 3672 3732 3876 4104 5287 5598 5814 5909 7464 7752 8397 8721 10574 11196 11628 11818 15861 16794 17442 17727 21148 22392 23256 23636 31722 33588 34884 35454 42296 47272 47583 53181 63444 67176 69768 70908 95166 100453 106362 126888 141816 142749 159543 190332 200906 212724 285498 301359 319086 380664 401812 425448 570996 602718 638172 803624 904077 1141992 1205436 1276344 1808154 2410872 2712231 3616308 5424462 7232616 10848924 21697848