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20632626 = 23272149157
BaseRepresentation
bin100111010110…
…1010000110010
31102211020122100
41032231100302
520240221001
62014121230
7340242300
oct116552062
942736570
1020632626
1110712663
126ab0216
134375371
142a51270
151c28586
hex13ad432

20632626 has 72 divisors (see below), whose sum is σ = 52685100. Its totient is φ = 5818176.

The previous prime is 20632621. The next prime is 20632637. The reversal of 20632626 is 62623602.

It is a happy number.

20632626 is a `hidden beast` number, since 2 + 0 + 6 + 32 + 626 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18533025 + 2099601 = 4305^2 + 1449^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20632626.

It is not an unprimeable number, because it can be changed into a prime (20632621) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 131340 + ... + 131496.

Almost surely, 220632626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20632626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26342550).

20632626 is an abundant number, since it is smaller than the sum of its proper divisors (32052474).

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

20632626 is a wasteful number, since it uses less digits than its factorization.

20632626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 20632626 is about 4542.3150485188. The cubic root of 20632626 is about 274.2741231616.

The spelling of 20632626 in words is "twenty million, six hundred thirty-two thousand, six hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 149 157 294 298 314 441 447 471 882 894 942 1043 1099 1341 1413 2086 2198 2682 2826 3129 3297 6258 6594 7301 7693 9387 9891 14602 15386 18774 19782 21903 23079 23393 43806 46158 46786 65709 69237 70179 131418 138474 140358 163751 210537 327502 421074 491253 982506 1146257 1473759 2292514 2947518 3438771 6877542 10316313 20632626