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20864340 = 22325729571
BaseRepresentation
bin100111110010…
…1110101010100
31110021000111100
41033211311110
520320124330
62023110100
7342225660
oct117456524
943230440
1020864340
1110860762
126ba2330
134426983
142ab18a0
151c72060
hex13e5d54

20864340 has 144 divisors (see below), whose sum is σ = 74954880. Its totient is φ = 4596480.

The previous prime is 20864323. The next prime is 20864341. The reversal of 20864340 is 4346802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20864341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36255 + ... + 36825.

It is an arithmetic number, because the mean of its divisors is an integer number (520520).

Almost surely, 220864340 is an apocalyptic number.

20864340 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 20864340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37477440).

20864340 is an abundant number, since it is smaller than the sum of its proper divisors (54090540).

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

20864340 is a wasteful number, since it uses less digits than its factorization.

20864340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 617 counting only the distinct ones).

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

The square root of 20864340 is about 4567.7499931586. The cubic root of 20864340 is about 275.2970454175.

The spelling of 20864340 in words is "twenty million, eight hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 29 30 35 36 42 45 58 60 63 70 84 87 90 105 116 126 140 145 174 180 203 210 252 261 290 315 348 406 420 435 522 571 580 609 630 812 870 1015 1044 1142 1218 1260 1305 1713 1740 1827 2030 2284 2436 2610 2855 3045 3426 3654 3997 4060 5139 5220 5710 6090 6852 7308 7994 8565 9135 10278 11420 11991 12180 15988 16559 17130 18270 19985 20556 23982 25695 33118 34260 35973 36540 39970 47964 49677 51390 59955 66236 71946 79940 82795 99354 102780 115913 119910 143892 149031 165590 179865 198708 231826 239820 248385 298062 331180 347739 359730 463652 496770 579565 596124 695478 719460 745155 993540 1043217 1159130 1390956 1490310 1738695 2086434 2318260 2980620 3477390 4172868 5216085 6954780 10432170 20864340