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20897136 = 243313612
BaseRepresentation
bin100111110110…
…1110101110000
31110022200111000
41033231311300
520322202021
62023522000
7342423411
oct117556560
943280430
1020897136
1110883367
126bb9300
134438890
142abd808
151c7bb26
hex13edd70

20897136 has 120 divisors (see below), whose sum is σ = 65672880. Its totient is φ = 6324480.

The previous prime is 20897117. The next prime is 20897143. The reversal of 20897136 is 63179802.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 20897136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342546 + ... + 342606.

It is an arithmetic number, because the mean of its divisors is an integer number (547274).

Almost surely, 220897136 is an apocalyptic number.

20897136 is a gapful number since it is divisible by the number (26) 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 20897136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32836440).

20897136 is an abundant number, since it is smaller than the sum of its proper divisors (44775744).

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

20897136 is a wasteful number, since it uses less digits than its factorization.

20897136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 20897136 is about 4571.3385348276. The cubic root of 20897136 is about 275.4412134960.

It can be divided in two parts, 208 and 97136, that added together give a square (97344 = 3122).

The spelling of 20897136 in words is "twenty million, eight hundred ninety-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 61 72 78 104 108 117 122 144 156 183 208 216 234 244 312 351 366 432 468 488 549 624 702 732 793 936 976 1098 1404 1464 1586 1647 1872 2196 2379 2808 2928 3172 3294 3721 4392 4758 5616 6344 6588 7137 7442 8784 9516 11163 12688 13176 14274 14884 19032 21411 22326 26352 28548 29768 33489 38064 42822 44652 48373 57096 59536 66978 85644 89304 96746 100467 114192 133956 145119 171288 178608 193492 200934 267912 290238 342576 386984 401868 435357 535824 580476 773968 803736 870714 1160952 1306071 1607472 1741428 2321904 2612142 3482856 5224284 6965712 10448568 20897136