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21131838 = 23272131997
BaseRepresentation
bin101000010011…
…1001000111110
31110202121102200
41100213020332
520402204323
62032532330
7344421600
oct120471076
943677380
1021131838
1110a23732
1270b10a6
1344bb660
142b41170
151cc6443
hex142723e

21131838 has 144 divisors (see below), whose sum is σ = 60999120. Its totient is φ = 5225472.

The previous prime is 21131827. The next prime is 21131881. The reversal of 21131838 is 83813112.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 217806 + ... + 217902.

It is an arithmetic number, because the mean of its divisors is an integer number (423605).

Almost surely, 221131838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21131838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30499560).

21131838 is an abundant number, since it is smaller than the sum of its proper divisors (39867282).

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

21131838 is a wasteful number, since it uses less digits than its factorization.

21131838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 141 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 21131838 is about 4596.9378938593. The cubic root of 21131838 is about 276.4685644976.

The spelling of 21131838 in words is "twenty-one million, one hundred thirty-one thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 19 21 26 38 39 42 49 57 63 78 91 97 98 114 117 126 133 147 171 182 194 234 247 266 273 291 294 342 399 441 494 546 582 637 679 741 798 819 873 882 931 1197 1261 1274 1358 1482 1638 1729 1746 1843 1862 1911 2037 2223 2394 2522 2793 3458 3686 3783 3822 4074 4446 4753 5187 5529 5586 5733 6111 7566 8379 8827 9506 10374 11058 11349 11466 12103 12222 12901 14259 15561 16587 16758 17654 22698 23959 24206 25802 26481 28518 31122 33174 36309 38703 42777 47918 52962 61789 71877 72618 77406 79443 85554 90307 108927 116109 123578 143754 158886 167713 180614 185367 215631 217854 232218 270921 335426 370734 431262 503139 541842 556101 812763 1006278 1112202 1173991 1509417 1625526 2347982 3018834 3521973 7043946 10565919 21131838