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20984976 = 2432612389
BaseRepresentation
bin101000000001…
…1010010010000
31110111010222100
41100003102100
520333004401
62025440400
7343240455
oct120032220
943433870
1020984976
1110933361
127040100
13446985c
142b0382c
151c97b86
hex1403490

20984976 has 60 divisors (see below), whose sum is σ = 59716540. Its totient is φ = 6877440.

The previous prime is 20984963. The next prime is 20985001. The reversal of 20984976 is 67948902.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2322576 + 18662400 = 1524^2 + 4320^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7590 + ... + 9978.

Almost surely, 220984976 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 20984976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29858270).

20984976 is an abundant number, since it is smaller than the sum of its proper divisors (38731564).

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

20984976 is a wasteful number, since it uses less digits than its factorization.

20984976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 20984976 is about 4580.9361488674. The cubic root of 20984976 is about 275.8266081689.

The spelling of 20984976 in words is "twenty million, nine hundred eighty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2389 2928 4392 4778 7167 8784 9556 14334 19112 21501 28668 38224 43002 57336 86004 114672 145729 172008 291458 344016 437187 582916 874374 1165832 1311561 1748748 2331664 2623122 3497496 5246244 6994992 10492488 20984976