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20891136 = 29372967
BaseRepresentation
bin100111110110…
…0011000000000
31110022101020210
41033230120000
520322004021
62023434120
7342400050
oct117543000
943271223
1020891136
1110879902
126bb5940
134435c26
142abb560
151c79e76
hex13ec600

20891136 has 160 divisors (see below), whose sum is σ = 66781440. Its totient is φ = 5677056.

The previous prime is 20891131. The next prime is 20891149. The reversal of 20891136 is 63119802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20891131) 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, 311775 + ... + 311841.

It is an arithmetic number, because the mean of its divisors is an integer number (417384).

Almost surely, 220891136 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 20891136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33390720).

20891136 is an abundant number, since it is smaller than the sum of its proper divisors (45890304).

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

20891136 is an equidigital number, since it uses as much as digits as its factorization.

20891136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 20891136 is about 4570.6822247888. The cubic root of 20891136 is about 275.4148493493.

The spelling of 20891136 in words is "twenty million, eight hundred ninety-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 67 84 87 96 112 116 128 134 168 174 192 201 203 224 232 256 268 336 348 384 402 406 448 464 469 512 536 609 672 696 768 804 812 896 928 938 1072 1218 1344 1392 1407 1536 1608 1624 1792 1856 1876 1943 2144 2436 2688 2784 2814 3216 3248 3584 3712 3752 3886 4288 4872 5376 5568 5628 5829 6432 6496 7424 7504 7772 8576 9744 10752 11136 11256 11658 12864 12992 13601 14848 15008 15544 17152 19488 22272 22512 23316 25728 25984 27202 30016 31088 34304 38976 40803 44544 45024 46632 51456 51968 54404 60032 62176 77952 81606 90048 93264 102912 103936 108808 120064 124352 155904 163212 180096 186528 217616 240128 248704 311808 326424 360192 373056 435232 497408 652848 720384 746112 870464 994816 1305696 1492224 1740928 2611392 2984448 3481856 5222784 6963712 10445568 20891136