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20628744 = 23329107277
BaseRepresentation
bin100111010110…
…0010100001000
31102211001022120
41032230110020
520240104434
62014051240
7340225053
oct116542410
942731276
1020628744
111070a754
126aa9b20
134373676
142a4da9a
151c27349
hex13ac508

20628744 has 64 divisors (see below), whose sum is σ = 54043200. Its totient is φ = 6553344.

The previous prime is 20628743. The next prime is 20628749. The reversal of 20628744 is 44782602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20628743) 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, 74334 + ... + 74610.

It is an arithmetic number, because the mean of its divisors is an integer number (844425).

Almost surely, 220628744 is an apocalyptic number.

20628744 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 20628744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27021600).

20628744 is an abundant number, since it is smaller than the sum of its proper divisors (33414456).

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

20628744 is a wasteful number, since it uses less digits than its factorization.

20628744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 20628744 is about 4541.8877132752. The cubic root of 20628744 is about 274.2569206506.

The spelling of 20628744 in words is "twenty million, six hundred twenty-eight thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 107 116 174 214 232 277 321 348 428 554 642 696 831 856 1108 1284 1662 2216 2568 3103 3324 6206 6648 8033 9309 12412 16066 18618 24099 24824 29639 32132 37236 48198 59278 64264 74472 88917 96396 118556 177834 192792 237112 355668 711336 859531 1719062 2578593 3438124 5157186 6876248 10314372 20628744