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20776014 = 235731197
BaseRepresentation
bin100111101000…
…0010001001110
31110002112100000
41033100101032
520304313024
62021145130
7341410320
oct117202116
943075300
1020776014
1110800366
126b5b1a6
1343c56cc
142a8b610
151c55cc9
hex13d044e

20776014 has 96 divisors (see below), whose sum is σ = 55351296. Its totient is φ = 5715360.

The previous prime is 20775991. The next prime is 20776033. The reversal of 20776014 is 41067702.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 105364 + ... + 105560.

It is an arithmetic number, because the mean of its divisors is an integer number (576576).

Almost surely, 220776014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20776014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27675648).

20776014 is an abundant number, since it is smaller than the sum of its proper divisors (34575282).

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

20776014 is a wasteful number, since it uses less digits than its factorization.

20776014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 20776014 is about 4558.0713026455. The cubic root of 20776014 is about 274.9080199273.

The spelling of 20776014 in words is "twenty million, seven hundred seventy-six thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 81 93 126 162 186 189 197 217 243 279 378 394 434 486 558 567 591 651 837 1134 1182 1302 1379 1674 1701 1773 1953 2511 2758 3402 3546 3906 4137 5022 5319 5859 6107 7533 8274 10638 11718 12214 12411 15066 15957 17577 18321 24822 31914 35154 36642 37233 42749 47871 52731 54963 74466 85498 95742 105462 109926 111699 128247 164889 223398 256494 329778 335097 384741 494667 670194 769482 989334 1154223 1484001 2308446 2968002 3462669 6925338 10388007 20776014