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20646840 = 23351729349
BaseRepresentation
bin100111011000…
…0101110111000
31102211222010210
41032300232320
520241144330
62014311120
7340331604
oct116605670
942758123
1020646840
1110722305
126ab84a0
13437b986
142a56504
151c2c8b0
hex13b0bb8

20646840 has 128 divisors (see below), whose sum is σ = 68040000. Its totient is φ = 4988928.

The previous prime is 20646833. The next prime is 20646841. The reversal of 20646840 is 4864602.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20646798 and 20646807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20646841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58986 + ... + 59334.

Almost surely, 220646840 is an apocalyptic number.

20646840 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 20646840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34020000).

20646840 is an abundant number, since it is smaller than the sum of its proper divisors (47393160).

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

20646840 is a wasteful number, since it uses less digits than its factorization.

20646840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 20646840 is about 4543.8793998081. The cubic root of 20646840 is about 274.3370920001.

The spelling of 20646840 in words is "twenty million, six hundred forty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 29 30 34 40 51 58 60 68 85 87 102 116 120 136 145 170 174 204 232 255 290 340 348 349 408 435 493 510 580 680 696 698 870 986 1020 1047 1160 1396 1479 1740 1745 1972 2040 2094 2465 2792 2958 3480 3490 3944 4188 4930 5235 5916 5933 6980 7395 8376 9860 10121 10470 11832 11866 13960 14790 17799 19720 20242 20940 23732 29580 29665 30363 35598 40484 41880 47464 50605 59160 59330 60726 71196 80968 88995 101210 118660 121452 142392 151815 172057 177990 202420 237320 242904 303630 344114 355980 404840 516171 607260 688228 711960 860285 1032342 1214520 1376456 1720570 2064684 2580855 3441140 4129368 5161710 6882280 10323420 20646840