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23053440 = 273512007
BaseRepresentation
bin101011111110…
…0010010000000
31121101020101010
41113330102000
521400202230
62142040520
7366644124
oct127742200
947336333
1023053440
1112016433
127879140
134a121b7
1430c1584
1520559b0
hex15fc480

23053440 has 64 divisors (see below), whose sum is σ = 73488960. Its totient is φ = 6147072.

The previous prime is 23053423. The next prime is 23053493. The reversal of 23053440 is 4435032.

It is a happy number.

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

It is a super-2 number, since 2×230534402 = 1062922191667200, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4084 + ... + 7923.

It is an arithmetic number, because the mean of its divisors is an integer number (1148265).

Almost surely, 223053440 is an apocalyptic number.

23053440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23053440 is an abundant number, since it is smaller than the sum of its proper divisors (50435520).

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

23053440 is a wasteful number, since it uses less digits than its factorization.

23053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12029 (or 12017 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 23053440 is about 4801.3997958929. The cubic root of 23053440 is about 284.6067830556.

Adding to 23053440 its reverse (4435032), we get a palindrome (27488472).

The spelling of 23053440 in words is "twenty-three million, fifty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 12007 24014 36021 48028 60035 72042 96056 120070 144084 180105 192112 240140 288168 360210 384224 480280 576336 720420 768448 960560 1152672 1440840 1536896 1921120 2305344 2881680 3842240 4610688 5763360 7684480 11526720 23053440