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20843136 = 273337163
BaseRepresentation
bin100111110000…
…0101010000000
31110012221102000
41033200222000
520313440021
62022424000
7342110106
oct117405200
943187360
1020843136
1110846836
126b92000
13441a122
142aa7c76
151c6ab26
hex13e0a80

20843136 has 128 divisors (see below), whose sum is σ = 63566400. Its totient is φ = 6718464.

The previous prime is 20843117. The next prime is 20843143. The reversal of 20843136 is 63134802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127791 + ... + 127953.

Almost surely, 220843136 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 20843136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31783200).

20843136 is an abundant number, since it is smaller than the sum of its proper divisors (42723264).

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

20843136 is a wasteful number, since it uses less digits than its factorization.

20843136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 20843136 is about 4565.4283479209. The cubic root of 20843136 is about 275.2037542304.

Adding to 20843136 its reverse (63134802), we get a palindrome (83977938).

The spelling of 20843136 in words is "twenty million, eight hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 163 192 216 222 288 296 326 333 384 432 444 489 576 592 652 666 864 888 978 999 1152 1184 1304 1332 1467 1728 1776 1956 1998 2368 2608 2664 2934 3456 3552 3912 3996 4401 4736 5216 5328 5868 6031 7104 7824 7992 8802 10432 10656 11736 12062 14208 15648 15984 17604 18093 20864 21312 23472 24124 31296 31968 35208 36186 42624 46944 48248 54279 62592 63936 70416 72372 93888 96496 108558 127872 140832 144744 162837 187776 192992 217116 281664 289488 325674 385984 434232 563328 578976 651348 771968 868464 1157952 1302696 1736928 2315904 2605392 3473856 5210784 6947712 10421568 20843136