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242986980 = 223543531777
BaseRepresentation
bin11100111101110…
…10111111100100
3121221020000110210
432132322333210
5444201040410
640040015420
76010232565
oct1636727744
9557200423
10242986980
11115183795
1269461570
133b4585a2
14243b216c
15164eb220
hexe7bafe4

242986980 has 96 divisors (see below), whose sum is σ = 709720704. Its totient is φ = 62060544.

The previous prime is 242986979. The next prime is 242986981. The reversal of 242986980 is 89689242.

It is an interprime number because it is at equal distance from previous prime (242986979) and next prime (242986981).

It is a super-3 number, since 3×2429869803 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (242986981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135852 + ... + 137628.

It is an arithmetic number, because the mean of its divisors is an integer number (7392924).

Almost surely, 2242986980 is an apocalyptic number.

242986980 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 242986980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354860352).

242986980 is an abundant number, since it is smaller than the sum of its proper divisors (466733724).

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

242986980 is a wasteful number, since it uses less digits than its factorization.

242986980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 242986980 is about 15588.0396458310. The cubic root of 242986980 is about 624.0140015760.

The spelling of 242986980 in words is "two hundred forty-two million, nine hundred eighty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 53 60 86 106 129 159 172 212 215 258 265 318 430 516 530 636 645 795 860 1060 1290 1590 1777 2279 2580 3180 3554 4558 5331 6837 7108 8885 9116 10662 11395 13674 17770 21324 22790 26655 27348 34185 35540 45580 53310 68370 76411 94181 106620 136740 152822 188362 229233 282543 305644 376724 382055 458466 470905 565086 764110 916932 941810 1130172 1146165 1412715 1528220 1883620 2292330 2825430 4049783 4584660 5650860 8099566 12149349 16199132 20248915 24298698 40497830 48597396 60746745 80995660 121493490 242986980