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14354820 = 223458861
BaseRepresentation
bin110110110000…
…100110000100
31000000022010000
4312300212010
512133323240
61231401300
7233004534
oct66604604
930008100
1014354820
118114a97
124983230
132c87a9c
141c994c4
1513d8430
hexdb0984

14354820 has 60 divisors (see below), whose sum is σ = 45036684. Its totient is φ = 3827520.

The previous prime is 14354807. The next prime is 14354833. The reversal of 14354820 is 2845341.

It is an interprime number because it is at equal distance from previous prime (14354807) and next prime (14354833).

It can be written as a sum of positive squares in 2 ways, for example, as 10850436 + 3504384 = 3294^2 + 1872^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2811 + ... + 6050.

Almost surely, 214354820 is an apocalyptic number.

14354820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14354820 is an abundant number, since it is smaller than the sum of its proper divisors (30681864).

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

14354820 is a wasteful number, since it uses less digits than its factorization.

14354820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8882 (or 8871 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 14354820 is about 3788.7755277926. The cubic root of 14354820 is about 243.0333744741.

The spelling of 14354820 in words is "fourteen million, three hundred fifty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 8861 17722 26583 35444 44305 53166 79749 88610 106332 132915 159498 177220 239247 265830 318996 398745 478494 531660 717741 797490 956988 1196235 1435482 1594980 2392470 2870964 3588705 4784940 7177410 14354820