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20801040 = 24351359113
BaseRepresentation
bin100111101011…
…0011000010000
31110010210122220
41033112120100
520311113130
62021501040
7341543301
oct117263020
943123586
1020801040
1110818147
126b71780
134403c10
142a967a8
151c5d410
hex13d6610

20801040 has 160 divisors (see below), whose sum is σ = 71245440. Its totient is φ = 4988928.

The previous prime is 20801017. The next prime is 20801057. The reversal of 20801040 is 4010802.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184024 + ... + 184136.

It is an arithmetic number, because the mean of its divisors is an integer number (445284).

Almost surely, 220801040 is an apocalyptic number.

20801040 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 20801040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35622720).

20801040 is an abundant number, since it is smaller than the sum of its proper divisors (50444400).

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

20801040 is a wasteful number, since it uses less digits than its factorization.

20801040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 20801040 is about 4560.8157165139. The cubic root of 20801040 is about 275.0183569013.

Adding to 20801040 its reverse (4010802), we get a palindrome (24811842).

The spelling of 20801040 in words is "twenty million, eight hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 59 60 65 78 80 104 113 118 120 130 156 177 195 208 226 236 240 260 295 312 339 354 390 452 472 520 565 590 624 678 708 767 780 885 904 944 1040 1130 1180 1356 1416 1469 1534 1560 1695 1770 1808 2260 2301 2360 2712 2832 2938 3068 3120 3390 3540 3835 4407 4520 4602 4720 5424 5876 6136 6667 6780 7080 7345 7670 8814 9040 9204 11505 11752 12272 13334 13560 14160 14690 15340 17628 18408 20001 22035 23010 23504 26668 27120 29380 30680 33335 35256 36816 40002 44070 46020 53336 58760 61360 66670 70512 80004 86671 88140 92040 100005 106672 117520 133340 160008 173342 176280 184080 200010 260013 266680 320016 346684 352560 400020 433355 520026 533360 693368 800040 866710 1040052 1300065 1386736 1600080 1733420 2080104 2600130 3466840 4160208 5200260 6933680 10400520 20801040