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109120 = 2651131
BaseRepresentation
bin11010101001000000
312112200111
4122221000
511442440
62201104
7633064
oct325100
9175614
10109120
1174a90
1253194
133a88b
142baa4
15224ea
hex1aa40

109120 has 56 divisors (see below), whose sum is σ = 292608. Its totient is φ = 38400.

The previous prime is 109111. The next prime is 109121. The reversal of 109120 is 21901.

It is a hoax number, since the sum of its digits (13) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 109120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109121) by changing a digit.

109120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3505 + ... + 3535.

2109120 is an apocalyptic number.

109120 is a gapful number since it is divisible by the number (10) 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 109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146304).

109120 is an abundant number, since it is smaller than the sum of its proper divisors (183488).

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

109120 is a wasteful number, since it uses less digits than its factorization.

109120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 109120 is about 330.3331651530. Note that the first 3 decimals coincide. The cubic root of 109120 is about 47.7860851288.

It can be divided in two parts, 1091 and 20, that added together give a palindrome (1111).

The spelling of 109120 in words is "one hundred nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 64 80 88 110 124 155 160 176 220 248 310 320 341 352 440 496 620 682 704 880 992 1240 1364 1705 1760 1984 2480 2728 3410 3520 4960 5456 6820 9920 10912 13640 21824 27280 54560 109120