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21161140 = 225721113151
BaseRepresentation
bin101000010111…
…0010010110100
31110211002121221
41100232102310
520404124030
62033320124
7344603200
oct120562264
943732557
1021161140
1110a43750
127106044
1344cbab0
142b4bb00
151ccee7a
hex142e4b4

21161140 has 144 divisors (see below), whose sum is σ = 61133184. Its totient is φ = 6048000.

The previous prime is 21161137. The next prime is 21161191. The reversal of 21161140 is 4116112.

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 47 ways as a sum of consecutive naturals, for example, 140065 + ... + 140215.

It is an arithmetic number, because the mean of its divisors is an integer number (424536).

Almost surely, 221161140 is an apocalyptic number.

21161140 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 21161140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30566592).

21161140 is an abundant number, since it is smaller than the sum of its proper divisors (39972044).

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

21161140 is a wasteful number, since it uses less digits than its factorization.

21161140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 21161140 is about 4600.1239113746. The cubic root of 21161140 is about 276.5962918374.

Adding to 21161140 its reverse (4116112), we get a palindrome (25277252).

It can be divided in two parts, 21 and 161140, that added together give a palindrome (161161).

The spelling of 21161140 in words is "twenty-one million, one hundred sixty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 49 52 55 65 70 77 91 98 110 130 140 143 151 154 182 196 220 245 260 286 302 308 364 385 455 490 539 572 604 637 715 755 770 910 980 1001 1057 1078 1274 1430 1510 1540 1661 1820 1963 2002 2114 2156 2548 2695 2860 3020 3185 3322 3926 4004 4228 5005 5285 5390 6370 6644 7007 7399 7852 8305 9815 10010 10570 10780 11627 12740 13741 14014 14798 16610 19630 20020 21140 21593 23254 27482 28028 29596 33220 35035 36995 39260 43186 46508 54964 58135 68705 70070 73990 81389 86372 96187 107965 116270 137410 140140 147980 151151 162778 192374 215930 232540 274820 302302 325556 384748 406945 431860 480935 604604 755755 813890 961870 1058057 1511510 1627780 1923740 2116114 3023020 4232228 5290285 10580570 21161140