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20830460 = 22571941191
BaseRepresentation
bin100111101110…
…1100011111100
31110012022000112
41033131203330
520313033320
62022245152
7342025130
oct117354374
943168015
1020830460
1110838262
126b867b8
134414421
142aa33c0
151c66ec5
hex13dd8fc

20830460 has 96 divisors (see below), whose sum is σ = 54190080. Its totient is φ = 6566400.

The previous prime is 20830429. The next prime is 20830471. The reversal of 20830460 is 6403802.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108965 + ... + 109155.

It is an arithmetic number, because the mean of its divisors is an integer number (564480).

Almost surely, 220830460 is an apocalyptic number.

20830460 is a gapful number since it is divisible by the number (20) 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 20830460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27095040).

20830460 is an abundant number, since it is smaller than the sum of its proper divisors (33359620).

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

20830460 is a wasteful number, since it uses less digits than its factorization.

20830460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 20830460 is about 4564.0398771264. The cubic root of 20830460 is about 275.1479534428.

The spelling of 20830460 in words is "twenty million, eight hundred thirty thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 41 70 76 82 95 133 140 164 190 191 205 266 287 380 382 410 532 574 665 764 779 820 955 1148 1330 1337 1435 1558 1910 2660 2674 2870 3116 3629 3820 3895 5348 5453 5740 6685 7258 7790 7831 10906 13370 14516 15580 15662 18145 21812 25403 26740 27265 31324 36290 39155 50806 54530 54817 72580 78310 101612 109060 109634 127015 148789 156620 219268 254030 274085 297578 508060 548170 595156 743945 1041523 1096340 1487890 2083046 2975780 4166092 5207615 10415230 20830460