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20483040 = 2535139307
BaseRepresentation
bin100111000100…
…0101111100000
31102112122110010
41032020233200
520220424130
62011004520
7336050214
oct116105740
942478403
1020483040
1110620236
126a39740
134322256
142a12944
151be90b0
hex1388be0

20483040 has 96 divisors (see below), whose sum is σ = 65197440. Its totient is φ = 5405184.

The previous prime is 20483009. The next prime is 20483053. The reversal of 20483040 is 4038402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 20482998 and 20483016.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 66567 + ... + 66873.

It is an arithmetic number, because the mean of its divisors is an integer number (679140).

Almost surely, 220483040 is an apocalyptic number.

20483040 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 20483040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32598720).

20483040 is an abundant number, since it is smaller than the sum of its proper divisors (44714400).

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

20483040 is a wasteful number, since it uses less digits than its factorization.

20483040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 20483040 is about 4525.8192628518. The cubic root of 20483040 is about 273.6096881081.

The spelling of 20483040 in words is "twenty million, four hundred eighty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 139 160 240 278 307 417 480 556 614 695 834 921 1112 1228 1390 1535 1668 1842 2085 2224 2456 2780 3070 3336 3684 4170 4448 4605 4912 5560 6140 6672 7368 8340 9210 9824 11120 12280 13344 14736 16680 18420 22240 24560 29472 33360 36840 42673 49120 66720 73680 85346 128019 147360 170692 213365 256038 341384 426730 512076 640095 682768 853460 1024152 1280190 1365536 1706920 2048304 2560380 3413840 4096608 5120760 6827680 10241520 20483040