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14159628 = 22327223349
BaseRepresentation
bin110110000000…
…111100001100
3222122101100200
4312000330030
512111102003
61223253500
7231232500
oct66007414
928571320
1014159628
117aa137a
1248aa290
132c19ca2
141c48300
15139a6a3
hexd80f0c

14159628 has 108 divisors (see below), whose sum is σ = 43570800. Its totient is φ = 3858624.

The previous prime is 14159573. The next prime is 14159669. The reversal of 14159628 is 82695141.

14159628 is a `hidden beast` number, since 1 + 41 + 596 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (17280) is a multiple of the sum of its prime divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 14159592 and 14159601.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40398 + ... + 40746.

Almost surely, 214159628 is an apocalyptic number.

14159628 is a gapful number since it is divisible by the number (18) 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 14159628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21785400).

14159628 is an abundant number, since it is smaller than the sum of its proper divisors (29411172).

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

14159628 is a wasteful number, since it uses less digits than its factorization.

14159628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 384 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 14159628 is about 3762.9281151784. The cubic root of 14159628 is about 241.9267815743.

The spelling of 14159628 in words is "fourteen million, one hundred fifty-nine thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 49 63 69 84 92 98 126 138 147 161 196 207 252 276 294 322 349 414 441 483 588 644 698 828 882 966 1047 1127 1396 1449 1764 1932 2094 2254 2443 2898 3141 3381 4188 4508 4886 5796 6282 6762 7329 8027 9772 10143 12564 13524 14658 16054 17101 20286 21987 24081 29316 32108 34202 40572 43974 48162 51303 56189 68404 72243 87948 96324 102606 112378 144486 153909 168567 205212 224756 288972 307818 337134 393323 505701 615636 674268 786646 1011402 1179969 1573292 2022804 2359938 3539907 4719876 7079814 14159628