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20705136 = 2431973311
BaseRepresentation
bin100111011111…
…0111101110000
31102221221002220
41032332331300
520300031021
62015441040
7340663554
oct116767560
942857086
1020705136
1110762091
126b26180
13439c37a
142a6d864
151c3ecc6
hex13bef70

20705136 has 80 divisors (see below), whose sum is σ = 57258240. Its totient is φ = 6428160.

The previous prime is 20705131. The next prime is 20705137. The reversal of 20705136 is 63150702.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20705131) 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, 66421 + ... + 66731.

It is an arithmetic number, because the mean of its divisors is an integer number (715728).

Almost surely, 220705136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20705136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28629120).

20705136 is an abundant number, since it is smaller than the sum of its proper divisors (36553104).

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

20705136 is a wasteful number, since it uses less digits than its factorization.

20705136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 20705136 is about 4550.2896611095. The cubic root of 20705136 is about 274.5950447413.

Adding to 20705136 its reverse (63150702), we get a palindrome (83855838).

The spelling of 20705136 in words is "twenty million, seven hundred five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 73 76 114 146 152 219 228 292 304 311 438 456 584 622 876 912 933 1168 1244 1387 1752 1866 2488 2774 3504 3732 4161 4976 5548 5909 7464 8322 11096 11818 14928 16644 17727 22192 22703 23636 33288 35454 45406 47272 66576 68109 70908 90812 94544 136218 141816 181624 272436 283632 363248 431357 544872 862714 1089744 1294071 1725428 2588142 3450856 5176284 6901712 10352568 20705136