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110140320 = 2535229459
BaseRepresentation
bin1101001000010…
…01101110100000
321200020201010010
412210021232200
5211143442240
614532404520
72505114543
oct644115640
9250221103
10110140320
1157198064
1230a76740
1319a841b4
14108b085a
159a09280
hex6909ba0

110140320 has 48 divisors (see below), whose sum is σ = 346943520. Its totient is φ = 29370624.

The previous prime is 110140301. The next prime is 110140351. The reversal of 110140320 is 23041011.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110140296 and 110140305.

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, 114250 + ... + 115209.

It is an arithmetic number, because the mean of its divisors is an integer number (7227990).

Almost surely, 2110140320 is an apocalyptic number.

110140320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110140320 is an abundant number, since it is smaller than the sum of its proper divisors (236803200).

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

110140320 is a wasteful number, since it uses less digits than its factorization.

110140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229477 (or 229469 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 110140320 is about 10494.7758432470. The cubic root of 110140320 is about 479.3456361163.

Adding to 110140320 its reverse (23041011), we get a palindrome (133181331).

The spelling of 110140320 in words is "one hundred ten million, one hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 229459 458918 688377 917836 1147295 1376754 1835672 2294590 2753508 3441885 3671344 4589180 5507016 6883770 7342688 9178360 11014032 13767540 18356720 22028064 27535080 36713440 55070160 110140320