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20107776 = 293131953
BaseRepresentation
bin100110010110…
…1001000000000
31101211120200110
41030231020000
520121422101
61554551320
7332625153
oct114551000
941746613
1020107776
11103942a7
126898540
1342204c0
142955c9a
151b72cd6
hex132d200

20107776 has 160 divisors (see below), whose sum is σ = 61871040. Its totient is φ = 5750784.

The previous prime is 20107771. The next prime is 20107807. The reversal of 20107776 is 67770102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20107771) 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, 379366 + ... + 379418.

It is an arithmetic number, because the mean of its divisors is an integer number (386694).

Almost surely, 220107776 is an apocalyptic number.

20107776 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 20107776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30935520).

20107776 is an abundant number, since it is smaller than the sum of its proper divisors (41763264).

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

20107776 is a wasteful number, since it uses less digits than its factorization.

20107776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 20107776 is about 4484.1694883222. The cubic root of 20107776 is about 271.9284702336.

Adding to 20107776 its reverse (67770102), we get a palindrome (87877878).

The spelling of 20107776 in words is "twenty million, one hundred seven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 53 57 64 76 78 96 104 106 114 128 152 156 159 192 208 212 228 247 256 304 312 318 384 416 424 456 494 512 608 624 636 689 741 768 832 848 912 988 1007 1216 1248 1272 1378 1482 1536 1664 1696 1824 1976 2014 2067 2432 2496 2544 2756 2964 3021 3328 3392 3648 3952 4028 4134 4864 4992 5088 5512 5928 6042 6656 6784 7296 7904 8056 8268 9728 9984 10176 11024 11856 12084 13091 13568 14592 15808 16112 16536 19968 20352 22048 23712 24168 26182 27136 29184 31616 32224 33072 39273 40704 44096 47424 48336 52364 63232 64448 66144 78546 81408 88192 94848 96672 104728 126464 128896 132288 157092 176384 189696 193344 209456 257792 264576 314184 352768 379392 386688 418912 515584 529152 628368 773376 837824 1058304 1256736 1546752 1675648 2513472 3351296 5026944 6702592 10053888 20107776