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14392120 = 2351929653
BaseRepresentation
bin110110111001…
…101100111000
31000002012021111
4312321230320
512141021440
61232250104
7233221351
oct66715470
930065244
1014392120
118140016
1249a0934
132c9ba62
141ca8d28
1513e44ea
hexdb9b38

14392120 has 64 divisors (see below), whose sum is σ = 35316000. Its totient is φ = 5257728.

The previous prime is 14392109. The next prime is 14392123. The reversal of 14392120 is 2129341.

It is a junction number, because it is equal to n+sod(n) for n = 14392091 and 14392100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14392123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21714 + ... + 22366.

Almost surely, 214392120 is an apocalyptic number.

14392120 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 14392120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17658000).

14392120 is an abundant number, since it is smaller than the sum of its proper divisors (20923880).

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

14392120 is a wasteful number, since it uses less digits than its factorization.

14392120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 14392120 is about 3793.6947689555. The cubic root of 14392120 is about 243.2436941778.

The spelling of 14392120 in words is "fourteen million, three hundred ninety-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 29 38 40 58 76 95 116 145 152 190 232 290 380 551 580 653 760 1102 1160 1306 2204 2612 2755 3265 4408 5224 5510 6530 11020 12407 13060 18937 22040 24814 26120 37874 49628 62035 75748 94685 99256 124070 151496 189370 248140 359803 378740 496280 719606 757480 1439212 1799015 2878424 3598030 7196060 14392120