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4245920 = 255717223
BaseRepresentation
bin10000001100100110100000
321222201022022
4100030212200
52041332140
6231001012
751042530
oct20144640
97881268
104245920
112440028
121509168
13b587a3
147c74c0
1558d0b5
hex40c9a0

4245920 has 96 divisors (see below), whose sum is σ = 12192768. Its totient is φ = 1363968.

The previous prime is 4245907. The next prime is 4245929. The reversal of 4245920 is 295424.

4245920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4245920.

It is not an unprimeable number, because it can be changed into a prime (4245929) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18929 + ... + 19151.

It is an arithmetic number, because the mean of its divisors is an integer number (127008).

Almost surely, 24245920 is an apocalyptic number.

4245920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4245920 is the 1190-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4245920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096384).

4245920 is an abundant number, since it is smaller than the sum of its proper divisors (7946848).

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

4245920 is a wasteful number, since it uses less digits than its factorization.

4245920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 4245920 is about 2060.5630298537. The cubic root of 4245920 is about 161.9287396794.

The spelling of 4245920 in words is "four million, two hundred forty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 68 70 80 85 112 119 136 140 160 170 223 224 238 272 280 340 446 476 544 560 595 680 892 952 1115 1120 1190 1360 1561 1784 1904 2230 2380 2720 3122 3568 3791 3808 4460 4760 6244 7136 7582 7805 8920 9520 12488 15164 15610 17840 18955 19040 24976 26537 30328 31220 35680 37910 49952 53074 60656 62440 75820 106148 121312 124880 132685 151640 212296 249760 265370 303280 424592 530740 606560 849184 1061480 2122960 4245920