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122380140 = 223519107351
BaseRepresentation
bin1110100101101…
…01111101101100
322112021112222210
413102311331230
5222312131030
620051010420
73014133261
oct722657554
9275245883
10122380140
1163098013
1234b99a10
131c47b3ac
1412379268
15ab25bb0
hex74b5f6c

122380140 has 48 divisors (see below), whose sum is σ = 360702720. Its totient is φ = 30916800.

The previous prime is 122380129. The next prime is 122380169. The reversal of 122380140 is 41083221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52536 + ... + 54815.

It is an arithmetic number, because the mean of its divisors is an integer number (7514640).

Almost surely, 2122380140 is an apocalyptic number.

122380140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122380140 is an abundant number, since it is smaller than the sum of its proper divisors (238322580).

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

122380140 is a wasteful number, since it uses less digits than its factorization.

122380140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107382 (or 107380 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 122380140 is about 11062.5557625713. Note that the first 3 decimals coincide. The cubic root of 122380140 is about 496.4821609961.

The spelling of 122380140 in words is "one hundred twenty-two million, three hundred eighty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 107351 214702 322053 429404 536755 644106 1073510 1288212 1610265 2039669 2147020 3220530 4079338 6119007 6441060 8158676 10198345 12238014 20396690 24476028 30595035 40793380 61190070 122380140