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110137056 = 2534012861
BaseRepresentation
bin1101001000010…
…00111011100000
321200020112122020
412210020323200
5211143341211
614532341440
72505102201
oct644107340
9250215566
10110137056
1157195667
1230a74880
1319a82873
14108ad5a8
159a08306
hex6908ee0

110137056 has 48 divisors (see below), whose sum is σ = 289932048. Its totient is φ = 36608000.

The previous prime is 110137039. The next prime is 110137057. The reversal of 110137056 is 650731011.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1101370562 = 24260342208694272, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110137057) by changing a digit.

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, 37066 + ... + 39926.

It is an arithmetic number, because the mean of its divisors is an integer number (6040251).

Almost surely, 2110137056 is an apocalyptic number.

110137056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

110137056 is an abundant number, since it is smaller than the sum of its proper divisors (179794992).

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

110137056 is a wasteful number, since it uses less digits than its factorization.

110137056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3275 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 110137056 is about 10494.6203361532. The cubic root of 110137056 is about 479.3409009457.

Adding to 110137056 its reverse (650731011), we get a palindrome (760868067).

The spelling of 110137056 in words is "one hundred ten million, one hundred thirty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 401 802 1203 1604 2406 2861 3208 4812 5722 6416 8583 9624 11444 12832 17166 19248 22888 34332 38496 45776 68664 91552 137328 274656 1147261 2294522 3441783 4589044 6883566 9178088 13767132 18356176 27534264 36712352 55068528 110137056