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4245040 = 245471129
BaseRepresentation
bin10000001100011000110000
321222200002201
4100030120300
52041320130
6230552544
751040132
oct20143060
97880081
104245040
11243a3a8
121508754
13b58277
147c7052
1558cbca
hex40c630

4245040 has 40 divisors (see below), whose sum is σ = 10088640. Its totient is φ = 1660416.

The previous prime is 4245029. The next prime is 4245077. The reversal of 4245040 is 405424.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 4244999 and 4245017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3196 + ... + 4324.

It is an arithmetic number, because the mean of its divisors is an integer number (252216).

Almost surely, 24245040 is an apocalyptic number.

4245040 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 4245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5044320).

4245040 is an abundant number, since it is smaller than the sum of its proper divisors (5843600).

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

4245040 is a wasteful number, since it uses less digits than its factorization.

4245040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 4245040 is about 2060.3494849175. The cubic root of 4245040 is about 161.9175519088.

The spelling of 4245040 in words is "four million, two hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1129 1880 2258 3760 4516 5645 9032 11290 18064 22580 45160 53063 90320 106126 212252 265315 424504 530630 849008 1061260 2122520 4245040