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121266320 = 2457832609
BaseRepresentation
bin1110011101001…
…10000010010000
322110011222010012
413032212002100
5222021010240
620011054052
73001514060
oct716460220
9273158105
10121266320
11624a71aa
1234741328
131c17b426
14121693a0
15a9a5b65
hex73a6090

121266320 has 80 divisors (see below), whose sum is σ = 326229120. Its totient is φ = 41060352.

The previous prime is 121266319. The next prime is 121266323. The reversal of 121266320 is 23662121.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (121266323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 45176 + ... + 47784.

It is an arithmetic number, because the mean of its divisors is an integer number (4077864).

Almost surely, 2121266320 is an apocalyptic number.

121266320 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 121266320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163114560).

121266320 is an abundant number, since it is smaller than the sum of its proper divisors (204962800).

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

121266320 is a wasteful number, since it uses less digits than its factorization.

121266320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 121266320 is about 11012.0988008644. The cubic root of 121266320 is about 494.9713550067.

The spelling of 121266320 in words is "one hundred twenty-one million, two hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 83 112 140 166 280 332 415 560 581 664 830 1162 1328 1660 2324 2609 2905 3320 4648 5218 5810 6640 9296 10436 11620 13045 18263 20872 23240 26090 36526 41744 46480 52180 73052 91315 104360 146104 182630 208720 216547 292208 365260 433094 730520 866188 1082735 1461040 1515829 1732376 2165470 3031658 3464752 4330940 6063316 7579145 8661880 12126632 15158290 17323760 24253264 30316580 60633160 121266320