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122710140 = 2235573607
BaseRepresentation
bin1110101000001…
…10100001111100
322112220022200000
413110012201330
5222403211030
620102034300
73020006340
oct724064174
9275808600
10122710140
11632a2a43
1235118990
131c565667
1412423620
15ab8d860
hex750687c

122710140 has 144 divisors (see below), whose sum is σ = 441272832. Its totient is φ = 28040256.

The previous prime is 122710139. The next prime is 122710157. The reversal of 122710140 is 41017221.

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

It is a zygodrome in base 3.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 32217 + ... + 35823.

Almost surely, 2122710140 is an apocalyptic number.

122710140 is a gapful number since it is divisible by the number (10) 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 122710140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220636416).

122710140 is an abundant number, since it is smaller than the sum of its proper divisors (318562692).

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

122710140 is a wasteful number, since it uses less digits than its factorization.

122710140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 122710140 is about 11077.4609004049. The cubic root of 122710140 is about 496.9280178386.

Adding to 122710140 its reverse (41017221), we get a palindrome (163727361).

The spelling of 122710140 in words is "one hundred twenty-two million, seven hundred ten thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 756 810 945 972 1134 1215 1260 1620 1701 1890 2268 2430 2835 3402 3607 3780 4860 5670 6804 7214 8505 10821 11340 14428 17010 18035 21642 25249 32463 34020 36070 43284 50498 54105 64926 72140 75747 97389 100996 108210 126245 129852 151494 162315 194778 216420 227241 252490 292167 302988 324630 378735 389556 454482 486945 504980 584334 649260 681723 757470 876501 908964 973890 1136205 1168668 1363446 1460835 1514940 1753002 1947780 2045169 2272410 2726892 2921670 3408615 3506004 4090338 4382505 4544820 5843340 6135507 6817230 8180676 8765010 10225845 12271014 13634460 17530020 20451690 24542028 30677535 40903380 61355070 122710140