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20782475 = 527118757
BaseRepresentation
bin100111101000…
…1110110001011
31110002212012022
41033101312023
520310014400
62021235055
7341435210
oct117216613
943085168
1020782475
11108051aa
126b62a8b
1343c862c
142a8db07
151c57b85
hex13d1d8b

20782475 has 12 divisors (see below), whose sum is σ = 29451984. Its totient is φ = 14250720.

The previous prime is 20782469. The next prime is 20782477. The reversal of 20782475 is 57428702.

It is not a de Polignac number, because 20782475 - 210 = 20781451 is a prime.

It is a super-3 number, since 3×207824753 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20782477) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59204 + ... + 59553.

It is an arithmetic number, because the mean of its divisors is an integer number (2454332).

Almost surely, 220782475 is an apocalyptic number.

20782475 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20782475 is a deficient number, since it is larger than the sum of its proper divisors (8669509).

20782475 is a wasteful number, since it uses less digits than its factorization.

20782475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118774 (or 118769 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 35.

The square root of 20782475 is about 4558.7799903044. The cubic root of 20782475 is about 274.9365142706.

The spelling of 20782475 in words is "twenty million, seven hundred eighty-two thousand, four hundred seventy-five".

Divisors: 1 5 7 25 35 175 118757 593785 831299 2968925 4156495 20782475