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110014920 = 23325305597
BaseRepresentation
bin1101000111010…
…11000111001000
321200000100002200
412203223013020
5211130434140
614530000200
72504053131
oct643530710
9250010080
10110014920
1157111924
1230a16060
1319a3c0b2
141087ac88
1599d2030
hex68eb1c8

110014920 has 48 divisors (see below), whose sum is σ = 357549660. Its totient is φ = 29337216.

The previous prime is 110014907. The next prime is 110014943. The reversal of 110014920 is 29410011.

It can be written as a sum of positive squares in 2 ways, for example, as 107371044 + 2643876 = 10362^2 + 1626^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110014893 and 110014902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152439 + ... + 153158.

Almost surely, 2110014920 is an apocalyptic number.

110014920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110014920 is an abundant number, since it is smaller than the sum of its proper divisors (247534740).

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

110014920 is a wasteful number, since it uses less digits than its factorization.

110014920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305614 (or 305607 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 110014920 is about 10488.7997406758. The cubic root of 110014920 is about 479.1636477525.

Adding to 110014920 its reverse (29410011), we get a palindrome (139424931).

The spelling of 110014920 in words is "one hundred ten million, fourteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 305597 611194 916791 1222388 1527985 1833582 2444776 2750373 3055970 3667164 4583955 5500746 6111940 7334328 9167910 11001492 12223880 13751865 18335820 22002984 27503730 36671640 55007460 110014920