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20428440 = 23353743107
BaseRepresentation
bin100110111101…
…1011010011000
31102102212112220
41031323122120
520212202230
62005504040
7335432064
oct115733230
942385486
1020428440
111059320a
126a12020
134303446
1429daaa4
151bd7d10
hex137b698

20428440 has 128 divisors (see below), whose sum is σ = 65007360. Its totient is φ = 5128704.

The previous prime is 20428433. The next prime is 20428459. The reversal of 20428440 is 4482402.

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 20428440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190867 + ... + 190973.

It is an arithmetic number, because the mean of its divisors is an integer number (507870).

Almost surely, 220428440 is an apocalyptic number.

20428440 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 20428440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32503680).

20428440 is an abundant number, since it is smaller than the sum of its proper divisors (44578920).

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

20428440 is a wasteful number, since it uses less digits than its factorization.

20428440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 197 counting only the distinct ones).

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

The square root of 20428440 is about 4519.7831806404. The cubic root of 20428440 is about 273.3663586244.

The spelling of 20428440 in words is "twenty million, four hundred twenty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 43 60 74 86 107 111 120 129 148 172 185 214 215 222 258 296 321 344 370 428 430 444 516 535 555 642 645 740 856 860 888 1032 1070 1110 1284 1290 1480 1591 1605 1720 2140 2220 2568 2580 3182 3210 3959 4280 4440 4601 4773 5160 6364 6420 7918 7955 9202 9546 11877 12728 12840 13803 15836 15910 18404 19092 19795 23005 23754 23865 27606 31672 31820 36808 38184 39590 46010 47508 47730 55212 59385 63640 69015 79180 92020 95016 95460 110424 118770 138030 158360 170237 184040 190920 237540 276060 340474 475080 510711 552120 680948 851185 1021422 1361896 1702370 2042844 2553555 3404740 4085688 5107110 6809480 10214220 20428440