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20906064 = 2432413541
BaseRepresentation
bin100111111000…
…0000001010000
31110100010201200
41033300001100
520322443224
62024031200
7342461424
oct117600120
943303650
1020906064
111088a043
127002500
13443c96a
142ac2b84
151c7e5c9
hex13f0050

20906064 has 60 divisors (see below), whose sum is σ = 59951892. Its totient is φ = 6796800.

The previous prime is 20906051. The next prime is 20906087. The reversal of 20906064 is 46060902.

It can be written as a sum of positive squares in 2 ways, for example, as 4161600 + 16744464 = 2040^2 + 4092^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4134 + ... + 7674.

Almost surely, 220906064 is an apocalyptic number.

20906064 is a gapful number since it is divisible by the number (24) 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 20906064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29975946).

20906064 is an abundant number, since it is smaller than the sum of its proper divisors (39045828).

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

20906064 is a wasteful number, since it uses less digits than its factorization.

20906064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3596 (or 3587 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 20906064 is about 4572.3149497820. The cubic root of 20906064 is about 275.4804340065.

Adding to 20906064 its reverse (46060902), we get a palindrome (66966966).

The spelling of 20906064 in words is "twenty million, nine hundred six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 3541 5904 7082 10623 14164 21246 28328 31869 42492 56656 63738 84984 127476 145181 169968 254952 290362 435543 509904 580724 871086 1161448 1306629 1742172 2322896 2613258 3484344 5226516 6968688 10453032 20906064