Search a number
-
+
20717520 = 243586323
BaseRepresentation
bin100111100000…
…1111111010000
31102222120002120
41033001333100
520300430040
62020014240
7341044635
oct117017720
942876076
1020717520
111077041a
126b31380
1343a4bb5
142a7418c
151c437d0
hex13c1fd0

20717520 has 40 divisors (see below), whose sum is σ = 64225056. Its totient is φ = 5524608.

The previous prime is 20717497. The next prime is 20717527. The reversal of 20717520 is 2571702.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20717527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42922 + ... + 43401.

Almost surely, 220717520 is an apocalyptic number.

20717520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20717520 is an abundant number, since it is smaller than the sum of its proper divisors (43507536).

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

20717520 is a wasteful number, since it uses less digits than its factorization.

20717520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86339 (or 86333 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 20717520 is about 4551.6502501840. The cubic root of 20717520 is about 274.6497800701.

It can be divided in two parts, 2071 and 7520, that added together give a triangular number (9591 = T138).

The spelling of 20717520 in words is "twenty million, seven hundred seventeen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 86323 172646 258969 345292 431615 517938 690584 863230 1035876 1294845 1381168 1726460 2071752 2589690 3452920 4143504 5179380 6905840 10358760 20717520