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122079240 = 233253110939
BaseRepresentation
bin1110100011011…
…00100000001000
322111201021020100
413101230200020
5222223013430
620040325400
73011441103
oct721544010
9274637210
10122079240
1162a01a38
1234a73860
131c3a444a
14122db73a
15aab6960
hex746c808

122079240 has 96 divisors (see below), whose sum is σ = 409593600. Its totient is φ = 31501440.

The previous prime is 122079203. The next prime is 122079283. The reversal of 122079240 is 42970221.

122079240 is nontrivially palindromic in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5691 + ... + 16629.

It is an arithmetic number, because the mean of its divisors is an integer number (4266600).

Almost surely, 2122079240 is an apocalyptic number.

122079240 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 122079240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204796800).

122079240 is an abundant number, since it is smaller than the sum of its proper divisors (287514360).

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

122079240 is a wasteful number, since it uses less digits than its factorization.

122079240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10987 (or 10980 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 122079240 is about 11048.9474611838. The cubic root of 122079240 is about 496.0749214781.

The spelling of 122079240 in words is "one hundred twenty-two million, seventy-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 10939 11160 21878 32817 43756 54695 65634 87512 98451 109390 131268 164085 196902 218780 262536 328170 339109 393804 437560 492255 656340 678218 787608 984510 1017327 1312680 1356436 1695545 1969020 2034654 2712872 3051981 3391090 3938040 4069308 5086635 6103962 6782180 8138616 10173270 12207924 13564360 15259905 20346540 24415848 30519810 40693080 61039620 122079240