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20686380 = 223511132411
BaseRepresentation
bin100111011101…
…0011000101100
31102220222101020
41032322120230
520243431010
62015214140
7340555101
oct116723054
942828336
1020686380
1110749a90
126b17350
134393980
142a66aa8
151c39470
hex13ba62c

20686380 has 96 divisors (see below), whose sum is σ = 68076288. Its totient is φ = 4627200.

The previous prime is 20686373. The next prime is 20686409. The reversal of 20686380 is 8368602.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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, 7375 + ... + 9785.

It is an arithmetic number, because the mean of its divisors is an integer number (709128).

Almost surely, 220686380 is an apocalyptic number.

20686380 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 20686380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34038144).

20686380 is an abundant number, since it is smaller than the sum of its proper divisors (47389908).

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

20686380 is a wasteful number, since it uses less digits than its factorization.

20686380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 20686380 is about 4548.2282264636. The cubic root of 20686380 is about 274.5121046019.

It can be divided in two parts, 2068 and 6380, that added together give a palindrome (8448).

The spelling of 20686380 in words is "twenty million, six hundred eighty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2411 2860 4290 4822 7233 8580 9644 12055 14466 24110 26521 28932 31343 36165 48220 53042 62686 72330 79563 94029 106084 125372 132605 144660 156715 159126 188058 265210 313430 318252 344773 376116 397815 470145 530420 626860 689546 795630 940290 1034319 1379092 1591260 1723865 1880580 2068638 3447730 4137276 5171595 6895460 10343190 20686380