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20830446 = 236713157
BaseRepresentation
bin100111101110…
…1100011101110
31110012022000000
41033131203232
520313033241
62022245130
7342025110
oct117354356
943168000
1020830446
111083824a
126b867a6
134414410
142aa33b0
151c66eb6
hex13dd8ee

20830446 has 112 divisors (see below), whose sum is σ = 58025184. Its totient is φ = 5458752.

The previous prime is 20830429. The next prime is 20830471. The reversal of 20830446 is 64403802.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 132600 + ... + 132756.

It is an arithmetic number, because the mean of its divisors is an integer number (518082).

Almost surely, 220830446 is an apocalyptic number.

20830446 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20830446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29012592).

20830446 is an abundant number, since it is smaller than the sum of its proper divisors (37194738).

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

20830446 is a wasteful number, since it uses less digits than its factorization.

20830446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 20830446 is about 4564.0383433972. The cubic root of 20830446 is about 275.1478918011.

The spelling of 20830446 in words is "twenty million, eight hundred thirty thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 157 162 182 189 234 243 273 314 351 378 471 486 546 567 702 729 819 942 1053 1099 1134 1413 1458 1638 1701 2041 2106 2198 2457 2826 3159 3297 3402 4082 4239 4914 5103 6123 6318 6594 7371 8478 9477 9891 10206 12246 12717 14287 14742 18369 18954 19782 22113 25434 28574 29673 36738 38151 42861 44226 55107 59346 66339 76302 85722 89019 110214 114453 128583 132678 165321 178038 228906 257166 267057 330642 385749 495963 534114 771498 801171 991926 1157247 1487889 1602342 2314494 2975778 3471741 6943482 10415223 20830446