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69120 = 29335
BaseRepresentation
bin10000111000000000
310111211000
4100320000
54202440
61252000
7405342
oct207000
9114730
1069120
1147a27
1234000
13255cc
141b292
1515730
hex10e00

69120 has 80 divisors (see below), whose sum is σ = 245520. Its totient is φ = 18432.

The previous prime is 69119. The next prime is 69127. The reversal of 69120 is 2196.

It is a Jordan-Polya number, since it can be written as 6! ⋅ 4! ⋅ (2!)2.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 69093 and 69102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13822 + ... + 13826.

It is an arithmetic number, because the mean of its divisors is an integer number (3069).

269120 is an apocalyptic number.

69120 is a gapful number since it is divisible by the number (60) 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 69120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122760).

69120 is an abundant number, since it is smaller than the sum of its proper divisors (176400).

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

69120 is an equidigital number, since it uses as much as digits as its factorization.

69120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 69120 is about 262.9068276025. The cubic root of 69120 is about 41.0394227202.

The spelling of 69120 in words is "sixty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1080 1152 1280 1440 1536 1728 1920 2160 2304 2560 2880 3456 3840 4320 4608 5760 6912 7680 8640 11520 13824 17280 23040 34560 69120