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20141280 = 2532571197
BaseRepresentation
bin100110011010…
…1010011100000
31101220021122100
41030311103200
520124010110
61555410400
7333124635
oct114652340
941807570
1020141280
1110407495
1268b3a00
134232823
14296418c
151b7cbc0
hex13354e0

20141280 has 144 divisors (see below), whose sum is σ = 70053984. Its totient is φ = 5268480.

The previous prime is 20141269. The next prime is 20141309. The reversal of 20141280 is 8214102.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 102142 + ... + 102338.

It is an arithmetic number, because the mean of its divisors is an integer number (486486).

Almost surely, 220141280 is an apocalyptic number.

20141280 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 20141280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35026992).

20141280 is an abundant number, since it is smaller than the sum of its proper divisors (49912704).

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

20141280 is a wasteful number, since it uses less digits than its factorization.

20141280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 20141280 is about 4487.9037422832. The cubic root of 20141280 is about 272.0794174096.

Adding to 20141280 its reverse (8214102), we get a palindrome (28355382).

The spelling of 20141280 in words is "twenty million, one hundred forty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 71 72 80 90 96 120 142 144 160 180 197 213 240 284 288 355 360 394 426 480 568 591 639 710 720 788 852 985 1065 1136 1182 1278 1420 1440 1576 1704 1773 1970 2130 2272 2364 2556 2840 2955 3152 3195 3408 3546 3940 4260 4728 5112 5680 5910 6304 6390 6816 7092 7880 8520 8865 9456 10224 11360 11820 12780 13987 14184 15760 17040 17730 18912 20448 23640 25560 27974 28368 31520 34080 35460 41961 47280 51120 55948 56736 69935 70920 83922 94560 102240 111896 125883 139870 141840 167844 209805 223792 251766 279740 283680 335688 419610 447584 503532 559480 629415 671376 839220 1007064 1118960 1258830 1342752 1678440 2014128 2237920 2517660 3356880 4028256 5035320 6713760 10070640 20141280