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4245760 = 28531107
BaseRepresentation
bin10000001100100100000000
321222201002101
4100030210000
52041331020
6231000144
751042211
oct20144400
97881071
104245760
11243a9a2
121509054
13b586ac
147c7408
1558d00a
hex40c900

4245760 has 72 divisors (see below), whose sum is σ = 10596096. Its totient is φ = 1628160.

The previous prime is 4245743. The next prime is 4245779. The reversal of 4245760 is 675424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39627 + ... + 39733.

It is an arithmetic number, because the mean of its divisors is an integer number (147168).

Almost surely, 24245760 is an apocalyptic number.

4245760 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 4245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298048).

4245760 is an abundant number, since it is smaller than the sum of its proper divisors (6350336).

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

4245760 is a wasteful number, since it uses less digits than its factorization.

4245760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 4245760 is about 2060.5242051478. The cubic root of 4245760 is about 161.9267056543.

It can be divided in two parts, 4245 and 760, that added together give a palindrome (5005).

The spelling of 4245760 in words is "four million, two hundred forty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 107 124 128 155 160 214 248 256 310 320 428 496 535 620 640 856 992 1070 1240 1280 1712 1984 2140 2480 3317 3424 3968 4280 4960 6634 6848 7936 8560 9920 13268 13696 16585 17120 19840 26536 27392 33170 34240 39680 53072 66340 68480 106144 132680 136960 212288 265360 424576 530720 849152 1061440 2122880 4245760