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20205192 = 2337127947
BaseRepresentation
bin100110100010…
…0111010001000
31102000112022110
41031010322020
520133031232
62001022320
7333512160
oct115047210
942015273
1020205192
1110450507
1269249a0
134255947
14297d5a0
151b91acc
hex1344e88

20205192 has 64 divisors (see below), whose sum is σ = 58245120. Its totient is φ = 5721408.

The previous prime is 20205139. The next prime is 20205193. The reversal of 20205192 is 29150202.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (20205193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20863 + ... + 21809.

It is an arithmetic number, because the mean of its divisors is an integer number (910080).

Almost surely, 220205192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20205192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29122560).

20205192 is an abundant number, since it is smaller than the sum of its proper divisors (38039928).

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

20205192 is a wasteful number, since it uses less digits than its factorization.

20205192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 20205192 is about 4495.0185761574. The cubic root of 20205192 is about 272.3668996202.

Adding to 20205192 its reverse (29150202), we get a palindrome (49355394).

The spelling of 20205192 in words is "twenty million, two hundred five thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 127 168 254 381 508 762 889 947 1016 1524 1778 1894 2667 2841 3048 3556 3788 5334 5682 6629 7112 7576 10668 11364 13258 19887 21336 22728 26516 39774 53032 79548 120269 159096 240538 360807 481076 721614 841883 962152 1443228 1683766 2525649 2886456 3367532 5051298 6735064 10102596 20205192