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14369120 = 255312897
BaseRepresentation
bin110110110100…
…000101100000
31000001000201122
4312310011200
512134302440
61231551412
7233064323
oct66640540
930030648
1014369120
118124807
12498b568
132c9144c
141ca07ba
1513dc7b5
hexdb4160

14369120 has 48 divisors (see below), whose sum is σ = 35054208. Its totient is φ = 5560320.

The previous prime is 14369107. The next prime is 14369141. The reversal of 14369120 is 2196341.

It is a self number, because there is not a number n which added to its sum of digits gives 14369120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3512 + ... + 6408.

It is an arithmetic number, because the mean of its divisors is an integer number (730296).

Almost surely, 214369120 is an apocalyptic number.

14369120 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 14369120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17527104).

14369120 is an abundant number, since it is smaller than the sum of its proper divisors (20685088).

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

14369120 is a wasteful number, since it uses less digits than its factorization.

14369120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2943 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 14369120 is about 3790.6622112765. The cubic root of 14369120 is about 243.1140494404.

The spelling of 14369120 in words is "fourteen million, three hundred sixty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 2897 4960 5794 11588 14485 23176 28970 46352 57940 89807 92704 115880 179614 231760 359228 449035 463520 718456 898070 1436912 1796140 2873824 3592280 7184560 14369120