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14042380 = 22511293171
BaseRepresentation
bin110101100100…
…010100001100
3222102102112011
4311210110030
512043324010
61220551004
7230233612
oct65442414
928372464
1014042380
117a21280
124852464
132ba8801
141c176b2
151375a8a
hexd6450c

14042380 has 96 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 4704000.

The previous prime is 14042341. The next prime is 14042389. The reversal of 14042380 is 8324041.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (14042389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197745 + ... + 197815.

It is an arithmetic number, because the mean of its divisors is an integer number (362880).

Almost surely, 214042380 is an apocalyptic number.

14042380 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 14042380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

14042380 is an abundant number, since it is smaller than the sum of its proper divisors (20794100).

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

14042380 is a wasteful number, since it uses less digits than its factorization.

14042380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 14042380 is about 3747.3163730862. The cubic root of 14042380 is about 241.2571762655.

The spelling of 14042380 in words is "fourteen million, forty-two thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 29 31 44 55 58 62 71 110 116 124 142 145 155 220 284 290 310 319 341 355 580 620 638 682 710 781 899 1276 1364 1420 1562 1595 1705 1798 2059 2201 3124 3190 3410 3596 3905 4118 4402 4495 6380 6820 7810 8236 8804 8990 9889 10295 11005 15620 17980 19778 20590 22010 22649 24211 39556 41180 44020 45298 48422 49445 63829 90596 96844 98890 113245 121055 127658 197780 226490 242110 255316 319145 452980 484220 638290 702119 1276580 1404238 2808476 3510595 7021190 14042380