Search a number
-
+
1284096 = 21131119
BaseRepresentation
bin100111001100000000000
32102020110010
410321200000
5312042341
643304520
713625502
oct4714000
92366403
101284096
117a7840
1251b140
1335c628
14255d72
151a5716
hex139800

1284096 has 96 divisors (see below), whose sum is σ = 3931200. Its totient is φ = 368640.

The previous prime is 1284083. The next prime is 1284131. The reversal of 1284096 is 6904821.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67575 + ... + 67593.

It is an arithmetic number, because the mean of its divisors is an integer number (40950).

21284096 is an apocalyptic number.

1284096 is a gapful number since it is divisible by the number (16) 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 1284096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965600).

1284096 is an abundant number, since it is smaller than the sum of its proper divisors (2647104).

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

1284096 is a wasteful number, since it uses less digits than its factorization.

1284096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1284096 is about 1133.1795974160. The cubic root of 1284096 is about 108.6923964984.

It can be divided in two parts, 128 and 4096, that multiplied together give a 19-th power (524288 = 219).

The spelling of 1284096 in words is "one million, two hundred eighty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 128 132 152 176 192 209 228 256 264 304 352 384 418 456 512 528 608 627 704 768 836 912 1024 1056 1216 1254 1408 1536 1672 1824 2048 2112 2432 2508 2816 3072 3344 3648 4224 4864 5016 5632 6144 6688 7296 8448 9728 10032 11264 13376 14592 16896 19456 20064 22528 26752 29184 33792 38912 40128 53504 58368 67584 80256 107008 116736 160512 214016 321024 428032 642048 1284096