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20378176 = 267133499
BaseRepresentation
bin100110110111…
…1001001000000
31102100022121021
41031233021000
520204100201
62004435224
7335132410
oct115571100
942308537
1020378176
1110559475
1269a8b14
1342b65c0
1429c6640
151bc7ea1
hex136f240

20378176 has 56 divisors (see below), whose sum is σ = 49784000. Its totient is φ = 8059392.

The previous prime is 20378167. The next prime is 20378177. The reversal of 20378176 is 67187302.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (20378177) 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 7 ways as a sum of consecutive naturals, for example, 4075 + ... + 7573.

It is an arithmetic number, because the mean of its divisors is an integer number (889000).

Almost surely, 220378176 is an apocalyptic number.

20378176 is a gapful number since it is divisible by the number (26) 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 20378176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24892000).

20378176 is an abundant number, since it is smaller than the sum of its proper divisors (29405824).

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

20378176 is a wasteful number, since it uses less digits than its factorization.

20378176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3531 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 20378176 is about 4514.2193123507. The cubic root of 20378176 is about 273.1419693004.

The spelling of 20378176 in words is "twenty million, three hundred seventy-eight thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 3499 5824 6998 13996 24493 27992 45487 48986 55984 90974 97972 111968 181948 195944 223936 318409 363896 391888 636818 727792 783776 1273636 1455584 1567552 2547272 2911168 5094544 10189088 20378176