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20635940 = 22513139571
BaseRepresentation
bin100111010111…
…0000100100100
31102211102012002
41032232010210
520240322230
62014144432
7340255043
oct116560444
942742162
1020635940
11107150a6
126ab2118
134376a20
142a5255a
151c29545
hex13ae124

20635940 has 48 divisors (see below), whose sum is σ = 47087040. Its totient is φ = 7551360.

The previous prime is 20635939. The next prime is 20635949. The reversal of 20635940 is 4953602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20635949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35855 + ... + 36425.

It is an arithmetic number, because the mean of its divisors is an integer number (980980).

Almost surely, 220635940 is an apocalyptic number.

20635940 is a gapful number since it is divisible by the number (20) 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 20635940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23543520).

20635940 is an abundant number, since it is smaller than the sum of its proper divisors (26451100).

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

20635940 is a wasteful number, since it uses less digits than its factorization.

20635940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 20635940 is about 4542.6798258297. The cubic root of 20635940 is about 274.2888069571.

The spelling of 20635940 in words is "twenty million, six hundred thirty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 139 260 278 556 571 695 1142 1390 1807 2284 2780 2855 3614 5710 7228 7423 9035 11420 14846 18070 29692 36140 37115 74230 79369 148460 158738 317476 396845 793690 1031797 1587380 2063594 4127188 5158985 10317970 20635940