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11670048 = 2533131039
BaseRepresentation
bin101100100001…
…001000100000
3210221220022000
4230201020200
510441420143
61054044000
7201123315
oct54411040
923856260
1011670048
116650975
123aa9600
132557a70
14179ad0c
151057bd3
hexb21220

11670048 has 96 divisors (see below), whose sum is σ = 36691200. Its totient is φ = 3587328.

The previous prime is 11670037. The next prime is 11670091. The reversal of 11670048 is 84007611.

It is a happy number.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10713 + ... + 11751.

It is an arithmetic number, because the mean of its divisors is an integer number (382200).

Almost surely, 211670048 is an apocalyptic number.

11670048 is a gapful number since it is divisible by the number (18) 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 11670048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18345600).

11670048 is an abundant number, since it is smaller than the sum of its proper divisors (25021152).

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

11670048 is a wasteful number, since it uses less digits than its factorization.

11670048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 11670048 is about 3416.1451959775. The cubic root of 11670048 is about 226.8249797519.

Adding to 11670048 its reverse (84007611), we get a palindrome (95677659).

The spelling of 11670048 in words is "eleven million, six hundred seventy thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1039 1248 1404 1872 2078 2808 3117 3744 4156 5616 6234 8312 9351 11232 12468 13507 16624 18702 24936 27014 28053 33248 37404 40521 49872 54028 56106 74808 81042 99744 108056 112212 121563 149616 162084 216112 224424 243126 299232 324168 364689 432224 448848 486252 648336 729378 897696 972504 1296672 1458756 1945008 2917512 3890016 5835024 11670048