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120280248 = 233311233171
BaseRepresentation
bin1110010101101…
…01010010111000
322101022212111000
413022311102320
5221242431443
615534005000
72660236164
oct712652270
9271285430
10120280248
1161993370
1234346760
131bbc465a
1411d8dca4
15a85d8d3
hex72b54b8

120280248 has 256 divisors, whose sum is σ = 398131200. Its totient is φ = 33264000.

The previous prime is 120280231. The next prime is 120280249. The reversal of 120280248 is 842082021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120280249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1694053 + ... + 1694123.

It is an arithmetic number, because the mean of its divisors is an integer number (1555200).

Almost surely, 2120280248 is an apocalyptic number.

120280248 is a gapful number since it is divisible by the number (18) 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 120280248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199065600).

120280248 is an abundant number, since it is smaller than the sum of its proper divisors (277850952).

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

120280248 is a wasteful number, since it uses less digits than its factorization.

120280248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 120280248 is about 10967.2352030947. The cubic root of 120280248 is about 493.6260891219.

The spelling of 120280248 in words is "one hundred twenty million, two hundred eighty thousand, two hundred forty-eight".