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120551680 = 285531777
BaseRepresentation
bin1110010111101…
…11100100000000
322101211122211001
413023313210000
5221330123210
615543501344
72662446424
oct713674400
9271748731
10120551680
1162059297
1234457854
131bc8b072
1412020b84
15a8b403a
hex72f7900

120551680 has 72 divisors (see below), whose sum is σ = 294372792. Its totient is φ = 47284224.

The previous prime is 120551659. The next prime is 120551687. The reversal of 120551680 is 86155021.

It can be written as a sum of positive squares in 4 ways, for example, as 21827584 + 98724096 = 4672^2 + 9936^2 .

It is not an unprimeable number, because it can be changed into a prime (120551687) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 66952 + ... + 68728.

It is an arithmetic number, because the mean of its divisors is an integer number (4088511).

Almost surely, 2120551680 is an apocalyptic number.

120551680 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 120551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147186396).

120551680 is an abundant number, since it is smaller than the sum of its proper divisors (173821112).

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

120551680 is an equidigital number, since it uses as much as digits as its factorization.

120551680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 120551680 is about 10979.6029072093. The cubic root of 120551680 is about 493.9971260904.

The spelling of 120551680 in words is "one hundred twenty million, five hundred fifty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 256 265 320 424 530 640 848 1060 1280 1696 1777 2120 3392 3554 4240 6784 7108 8480 8885 13568 14216 16960 17770 28432 33920 35540 56864 67840 71080 94181 113728 142160 188362 227456 284320 376724 454912 470905 568640 753448 941810 1137280 1506896 1883620 2274560 3013792 3767240 6027584 7534480 12055168 15068960 24110336 30137920 60275840 120551680