Search a number
-
+
20731520 = 275291117
BaseRepresentation
bin100111100010…
…1011010000000
31110000021022002
41033011122000
520301402040
62020203132
7341133515
oct117053200
943007262
1020731520
111077a997
126b394a8
1343ab394
142a7930c
151c47a15
hex13c5680

20731520 has 64 divisors (see below), whose sum is σ = 51316200. Its totient is φ = 7999488.

The previous prime is 20731499. The next prime is 20731553. The reversal of 20731520 is 2513702.

It can be written as a sum of positive squares in 4 ways, for example, as 11343424 + 9388096 = 3368^2 + 3064^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20731492 and 20731501.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18002 + ... + 19118.

Almost surely, 220731520 is an apocalyptic number.

20731520 is a gapful number since it is divisible by the number (20) 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 20731520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25658100).

20731520 is an abundant number, since it is smaller than the sum of its proper divisors (30584680).

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

20731520 is a wasteful number, since it uses less digits than its factorization.

20731520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 20731520 is about 4553.1878942121. The cubic root of 20731520 is about 274.7116316033.

The spelling of 20731520 in words is "twenty million, seven hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 290 320 464 580 640 928 1117 1160 1856 2234 2320 3712 4468 4640 5585 8936 9280 11170 17872 18560 22340 32393 35744 44680 64786 71488 89360 129572 142976 161965 178720 259144 323930 357440 518288 647860 714880 1036576 1295720 2073152 2591440 4146304 5182880 10365760 20731520