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11001984 = 27374093
BaseRepresentation
bin101001111110…
…000010000000
3202200221212220
4221332002000
510304030414
61031451040
7162341520
oct51760200
922627786
1011001984
116234a54
123826a80
132382966
141665680
15e74ca9
hexa7e080

11001984 has 64 divisors (see below), whose sum is σ = 33407040. Its totient is φ = 3142656.

The previous prime is 11001983. The next prime is 11002001. The reversal of 11001984 is 48910011.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11001983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 642 + ... + 4734.

It is an arithmetic number, because the mean of its divisors is an integer number (521985).

Almost surely, 211001984 is an apocalyptic number.

11001984 is a gapful number since it is divisible by the number (14) 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 11001984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16703520).

11001984 is an abundant number, since it is smaller than the sum of its proper divisors (22405056).

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

11001984 is an equidigital number, since it uses as much as digits as its factorization.

11001984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117 (or 4105 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 11001984 is about 3316.9238761238. The cubic root of 11001984 is about 222.4113790910.

Adding to 11001984 its reverse (48910011), we get a palindrome (59911995).

The spelling of 11001984 in words is "eleven million, one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 4093 8186 12279 16372 24558 28651 32744 49116 57302 65488 85953 98232 114604 130976 171906 196464 229208 261952 343812 392928 458416 523904 687624 785856 916832 1375248 1571712 1833664 2750496 3667328 5500992 11001984