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4245120 = 273251167
BaseRepresentation
bin10000001100011010000000
321222200012200
4100030122000
52041320440
6230553200
751040305
oct20143200
97880180
104245120
11243a470
121508800
13b58309
147c70ac
1558cc30
hex40c680

4245120 has 192 divisors, whose sum is σ = 16230240. Its totient is φ = 1013760.

The previous prime is 4245119. The next prime is 4245149. The reversal of 4245120 is 215424.

Added to its reverse (215424) it gives a square (4460544 = 21122).

4245120 = T221 + T222 + ... + T330.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4245093 and 4245102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63327 + ... + 63393.

Almost surely, 24245120 is an apocalyptic number.

4245120 is a gapful number since it is divisible by the number (40) 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 4245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8115120).

4245120 is an abundant number, since it is smaller than the sum of its proper divisors (11985120).

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

4245120 is a wasteful number, since it uses less digits than its factorization.

4245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4245120 is about 2060.3688990081. The cubic root of 4245120 is about 161.9185690427.

Adding to 4245120 its reverse (215424), we get a square (4460544 = 21122).

The spelling of 4245120 in words is "four million, two hundred forty-five thousand, one hundred twenty".