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20095782 = 2372292357
BaseRepresentation
bin100110010101…
…0001100100110
31101210222020020
41030222030212
520121031112
61554420010
7332545200
oct114521446
941728206
1020095782
1110386293
126891606
134217bc5
142951770
151b6e48c
hex132a326

20095782 has 48 divisors (see below), whose sum is σ = 48386160. Its totient is φ = 5541312.

The previous prime is 20095763. The next prime is 20095799. The reversal of 20095782 is 28759002.

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 23 ways as a sum of consecutive naturals, for example, 7348 + ... + 9704.

It is an arithmetic number, because the mean of its divisors is an integer number (1008045).

Almost surely, 220095782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20095782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24193080).

20095782 is an abundant number, since it is smaller than the sum of its proper divisors (28290378).

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

20095782 is a wasteful number, since it uses less digits than its factorization.

20095782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 20095782 is about 4482.8319174379. The cubic root of 20095782 is about 271.8743923358.

The spelling of 20095782 in words is "twenty million, ninety-five thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 29 42 49 58 87 98 147 174 203 294 406 609 1218 1421 2357 2842 4263 4714 7071 8526 14142 16499 32998 49497 68353 98994 115493 136706 205059 230986 346479 410118 478471 692958 956942 1435413 2870826 3349297 6698594 10047891 20095782