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20262132 = 223211192693
BaseRepresentation
bin100110101001…
…0110011110100
31102010102102100
41031102303310
520141342012
62002142100
7334140162
oct115226364
942112370
1020262132
111048a270
126951930
134275837
142996232
151ba38dc
hex1352cf4

20262132 has 72 divisors (see below), whose sum is σ = 58836960. Its totient is φ = 5814720.

The previous prime is 20262107. The next prime is 20262133. The reversal of 20262132 is 23126202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20262133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6178 + ... + 8870.

It is an arithmetic number, because the mean of its divisors is an integer number (817180).

Almost surely, 220262132 is an apocalyptic number.

20262132 is a gapful number since it is divisible by the number (22) 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 20262132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29418480).

20262132 is an abundant number, since it is smaller than the sum of its proper divisors (38574828).

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

20262132 is a wasteful number, since it uses less digits than its factorization.

20262132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20262132 is about 4501.3477981600. The cubic root of 20262132 is about 272.6225109149.

Adding to 20262132 its reverse (23126202), we get a palindrome (43388334).

The spelling of 20262132 in words is "twenty million, two hundred sixty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 2693 3762 5386 7524 8079 10772 16158 24237 29623 32316 48474 51167 59246 88869 96948 102334 118492 153501 177738 204668 266607 307002 355476 460503 533214 562837 614004 921006 1066428 1125674 1688511 1842012 2251348 3377022 5065533 6754044 10131066 20262132