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20413440 = 210325443
BaseRepresentation
bin100110111011…
…1110000000000
31102102002222100
41031313300000
520211212230
62005310400
7335340255
oct115676000
942362870
1020413440
1110582a13
126a05400
1342c9678
1429d542c
151bd3660
hex1377c00

20413440 has 132 divisors (see below), whose sum is σ = 70891704. Its totient is φ = 5431296.

The previous prime is 20413409. The next prime is 20413441. The reversal of 20413440 is 4431402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20413441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45859 + ... + 46301.

Almost surely, 220413440 is an apocalyptic number.

20413440 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 20413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35445852).

20413440 is an abundant number, since it is smaller than the sum of its proper divisors (50478264).

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

20413440 is a wasteful number, since it uses less digits than its factorization.

20413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 20413440 is about 4518.1235042880. The cubic root of 20413440 is about 273.2994339610.

Adding to 20413440 its reverse (4431402), we get a palindrome (24844842).

The spelling of 20413440 in words is "twenty million, four hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 443 480 512 576 640 720 768 886 960 1024 1152 1280 1329 1440 1536 1772 1920 2215 2304 2560 2658 2880 3072 3544 3840 3987 4430 4608 5120 5316 5760 6645 7088 7680 7974 8860 9216 10632 11520 13290 14176 15360 15948 17720 19935 21264 23040 26580 28352 31896 35440 39870 42528 46080 53160 56704 63792 70880 79740 85056 106320 113408 127584 141760 159480 170112 212640 226816 255168 283520 318960 340224 425280 453632 510336 567040 637920 680448 850560 1020672 1134080 1275840 1360896 1701120 2041344 2268160 2551680 3402240 4082688 5103360 6804480 10206720 20413440