Search a number
-
+
20081376 = 2532721423
BaseRepresentation
bin100110010011…
…0101011100000
31101210020110200
41030212223200
520120101001
61554225200
7332455200
oct114465340
941706420
1020081376
1110376487
126885200
134211493
14294a400
151b6a086
hex1326ae0

20081376 has 108 divisors (see below), whose sum is σ = 66476592. Its totient is φ = 5733504.

The previous prime is 20081363. The next prime is 20081377. The reversal of 20081376 is 67318002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20081377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13401 + ... + 14823.

It is an arithmetic number, because the mean of its divisors is an integer number (615524).

Almost surely, 220081376 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 20081376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33238296).

20081376 is an abundant number, since it is smaller than the sum of its proper divisors (46395216).

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

20081376 is a wasteful number, since it uses less digits than its factorization.

20081376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 20081376 is about 4481.2248325653. The cubic root of 20081376 is about 271.8094108923.

Adding to 20081376 its reverse (67318002), we get a palindrome (87399378).

The spelling of 20081376 in words is "twenty million, eighty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1423 1568 1764 2016 2352 2846 3528 4269 4704 5692 7056 8538 9961 11384 12807 14112 17076 19922 22768 25614 29883 34152 39844 45536 51228 59766 68304 69727 79688 89649 102456 119532 136608 139454 159376 179298 204912 209181 239064 278908 318752 358596 409824 418362 478128 557816 627543 717192 836724 956256 1115632 1255086 1434384 1673448 2231264 2510172 2868768 3346896 5020344 6693792 10040688 20081376