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20076336 = 243472213
BaseRepresentation
bin100110010010…
…1011100110000
31101202222120000
41030211130300
520114420321
61554150000
7332434410
oct114453460
941688500
1020076336
1110372715
126882300
13420c0b7
142948640
151b68826
hex1325730

20076336 has 100 divisors (see below), whose sum is σ = 66437712. Its totient is φ = 5733504.

The previous prime is 20076307. The next prime is 20076359. The reversal of 20076336 is 63367002.

20076336 is a `hidden beast` number, since 20 + 0 + 7 + 633 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 7966 + ... + 10178.

Almost surely, 220076336 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 20076336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33218856).

20076336 is an abundant number, since it is smaller than the sum of its proper divisors (46361376).

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

20076336 is a wasteful number, since it uses less digits than its factorization.

20076336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 20076336 is about 4480.6624510222. The cubic root of 20076336 is about 271.7866695215.

The spelling of 20076336 in words is "twenty million, seventy-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2213 2268 3024 4426 4536 6639 8852 9072 13278 15491 17704 19917 26556 30982 35408 39834 46473 53112 59751 61964 79668 92946 106224 119502 123928 139419 159336 179253 185892 239004 247856 278838 318672 358506 371784 418257 478008 557676 717012 743568 836514 956016 1115352 1254771 1434024 1673028 2230704 2509542 2868048 3346056 5019084 6692112 10038168 20076336