Search a number
-
+
20516976 = 24361759
BaseRepresentation
bin100111001000…
…1000001110000
31102121101000000
41032101001300
520223020401
62011430000
7336251154
oct116210160
942541000
1020516976
1110643787
126a55300
13433482c
142a21064
151c04186
hex1391070

20516976 has 70 divisors (see below), whose sum is σ = 59634080. Its totient is φ = 6835104.

The previous prime is 20516953. The next prime is 20516999. The reversal of 20516976 is 67961502.

It is an interprime number because it is at equal distance from previous prime (20516953) and next prime (20516999).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20516976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 10785 + ... + 12543.

Almost surely, 220516976 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 20516976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29817040).

20516976 is an abundant number, since it is smaller than the sum of its proper divisors (39117104).

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

20516976 is an equidigital number, since it uses as much as digits as its factorization.

20516976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 20516976 is about 4529.5668667103. The cubic root of 20516976 is about 273.7607089074.

The spelling of 20516976 in words is "twenty million, five hundred sixteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1759 1944 2916 3518 3888 5277 5832 7036 10554 11664 14072 15831 21108 28144 31662 42216 47493 63324 84432 94986 126648 142479 189972 253296 284958 379944 427437 569916 759888 854874 1139832 1282311 1709748 2279664 2564622 3419496 5129244 6838992 10258488 20516976