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120741480 = 2332517109181
BaseRepresentation
bin1110011001001…
…01111001101000
322102012022011200
413030211321220
5221402211410
615551524200
72664166656
oct714457150
9272168150
10120741480
1162178952
1234529660
131c026582
141206ddd6
15a9003c0
hex7325e68

120741480 has 192 divisors, whose sum is σ = 421621200. Its totient is φ = 29859840.

The previous prime is 120741469. The next prime is 120741493. The reversal of 120741480 is 84147021.

It can be written as a sum of positive squares in 8 ways, for example, as 41139396 + 79602084 = 6414^2 + 8922^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 666990 + ... + 667170.

Almost surely, 2120741480 is an apocalyptic number.

120741480 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 120741480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210810600).

120741480 is an abundant number, since it is smaller than the sum of its proper divisors (300879720).

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

120741480 is a wasteful number, since it uses less digits than its factorization.

120741480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 120741480 is about 10988.2428076558. The cubic root of 120741480 is about 494.2562445338.

The spelling of 120741480 in words is "one hundred twenty million, seven hundred forty-one thousand, four hundred eighty".