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19955628 = 223271123313
BaseRepresentation
bin100110000011…
…1111110101100
31101112211222100
41030013332230
520102040003
61551415100
7331422450
oct114077654
941484870
1019955628
111029aa60
126824490
134199184
142916660
151b42ba3
hex1307fac

19955628 has 144 divisors (see below), whose sum is σ = 65834496. Its totient is φ = 4942080.

The previous prime is 19955609. The next prime is 19955633. The reversal of 19955628 is 82655991.

19955628 is a `hidden beast` number, since 1 + 99 + 556 + 2 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63600 + ... + 63912.

It is an arithmetic number, because the mean of its divisors is an integer number (457184).

Almost surely, 219955628 is an apocalyptic number.

19955628 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 19955628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32917248).

19955628 is an abundant number, since it is smaller than the sum of its proper divisors (45878868).

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

19955628 is a wasteful number, since it uses less digits than its factorization.

19955628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 359 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 19955628 is about 4467.1722599425. The cubic root of 19955628 is about 271.2408727913.

The spelling of 19955628 in words is "nineteen million, nine hundred fifty-five thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 23 28 33 36 42 44 46 63 66 69 77 84 92 99 126 132 138 154 161 198 207 231 252 253 276 308 313 322 396 414 462 483 506 626 644 693 759 828 924 939 966 1012 1252 1386 1449 1518 1771 1878 1932 2191 2277 2772 2817 2898 3036 3443 3542 3756 4382 4554 5313 5634 5796 6573 6886 7084 7199 8764 9108 10329 10626 11268 13146 13772 14398 15939 19719 20658 21252 21597 24101 26292 28796 30987 31878 39438 41316 43194 48202 50393 61974 63756 64791 72303 78876 79189 86388 96404 100786 123948 129582 144606 151179 158378 201572 216909 237567 259164 289212 302358 316756 433818 453537 475134 554323 604716 712701 867636 907074 950268 1108646 1425402 1662969 1814148 2217292 2850804 3325938 4988907 6651876 9977814 19955628