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20635140 = 22351923787
BaseRepresentation
bin100111010110…
…1111000000100
31102211101002110
41032231320010
520240311030
62014141020
7340252521
oct116557004
942741073
1020635140
1110714539
126ab1770
134376556
142a52148
151c291b0
hex13ade04

20635140 has 96 divisors (see below), whose sum is σ = 63544320. Its totient is φ = 4980096.

The previous prime is 20635103. The next prime is 20635169. The reversal of 20635140 is 4153602.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25827 + ... + 26613.

It is an arithmetic number, because the mean of its divisors is an integer number (661920).

Almost surely, 220635140 is an apocalyptic number.

20635140 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 20635140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31772160).

20635140 is an abundant number, since it is smaller than the sum of its proper divisors (42909180).

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

20635140 is a wasteful number, since it uses less digits than its factorization.

20635140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 20635140 is about 4542.5917712249. The cubic root of 20635140 is about 274.2852624311.

Adding to 20635140 its reverse (4153602), we get a palindrome (24788742).

The spelling of 20635140 in words is "twenty million, six hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 23 30 38 46 57 60 69 76 92 95 114 115 138 190 228 230 276 285 345 380 437 460 570 690 787 874 1140 1311 1380 1574 1748 2185 2361 2622 3148 3935 4370 4722 5244 6555 7870 8740 9444 11805 13110 14953 15740 18101 23610 26220 29906 36202 44859 47220 54303 59812 72404 74765 89718 90505 108606 149530 179436 181010 217212 224295 271515 299060 343919 362020 448590 543030 687838 897180 1031757 1086060 1375676 1719595 2063514 3439190 4127028 5158785 6878380 10317570 20635140