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20442480 = 2435194483
BaseRepresentation
bin100110111111…
…0110101110000
31102110120210220
41031332311300
520213124410
62010053040
7335521032
oct115766560
942416726
1020442480
11105a2813
126a1a180
134309956
142a01c52
151bdc070
hex137ed70

20442480 has 80 divisors (see below), whose sum is σ = 66721920. Its totient is φ = 5163264.

The previous prime is 20442479. The next prime is 20442511. The reversal of 20442480 is 8424402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20442480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2319 + ... + 6801.

It is an arithmetic number, because the mean of its divisors is an integer number (834024).

Almost surely, 220442480 is an apocalyptic number.

20442480 is a gapful number since it is divisible by the number (20) 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 20442480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33360960).

20442480 is an abundant number, since it is smaller than the sum of its proper divisors (46279440).

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

20442480 is a wasteful number, since it uses less digits than its factorization.

20442480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4518 (or 4512 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 20442480 is about 4521.3360857163. The cubic root of 20442480 is about 273.4289704333.

Adding to 20442480 its reverse (8424402), we get a palindrome (28866882).

The spelling of 20442480 in words is "twenty million, four hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4483 4560 8966 13449 17932 22415 26898 35864 44830 53796 67245 71728 85177 89660 107592 134490 170354 179320 215184 255531 268980 340708 358640 425885 511062 537960 681416 851770 1022124 1075920 1277655 1362832 1703540 2044248 2555310 3407080 4088496 5110620 6814160 10221240 20442480