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120221296 = 24131673461
BaseRepresentation
bin1110010101001…
…10111001110000
322101012212121121
413022212321300
5221234040141
615532432024
72656602256
oct712467160
9271185547
10120221296
1161953048
1234318614
131bba3880
1411d765d6
15a84b1d1
hex72a6e70

120221296 has 40 divisors (see below), whose sum is σ = 252421344. Its totient is φ = 55138560.

The previous prime is 120221293. The next prime is 120221323. The reversal of 120221296 is 692122021.

It is a self number, because there is not a number n which added to its sum of digits gives 120221296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120221293) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33006 + ... + 36466.

Almost surely, 2120221296 is an apocalyptic number.

120221296 is a gapful number since it is divisible by the number (16) 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 120221296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126210672).

120221296 is an abundant number, since it is smaller than the sum of its proper divisors (132200048).

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

120221296 is a wasteful number, since it uses less digits than its factorization.

120221296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3649 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 120221296 is about 10964.5472318742. The cubic root of 120221296 is about 493.5454302683.

The spelling of 120221296 in words is "one hundred twenty million, two hundred twenty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 167 208 334 668 1336 2171 2672 3461 4342 6922 8684 13844 17368 27688 34736 44993 55376 89986 179972 359944 577987 719888 1155974 2311948 4623896 7513831 9247792 15027662 30055324 60110648 120221296