Search a number
-
+
20296080 = 2432574027
BaseRepresentation
bin100110101101…
…1000110010000
31102012010222200
41031123012100
520143433310
62003003200
7334341150
oct115330620
942163880
1020296080
1110502822
126969500
13428811c
1429a4760
151bad9c0
hex135b190

20296080 has 120 divisors (see below), whose sum is σ = 77917632. Its totient is φ = 4637952.

The previous prime is 20296069. The next prime is 20296099. The reversal of 20296080 is 8069202.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 3027 + ... + 7053.

Almost surely, 220296080 is an apocalyptic number.

20296080 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 20296080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38958816).

20296080 is an abundant number, since it is smaller than the sum of its proper divisors (57621552).

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

20296080 is a wasteful number, since it uses less digits than its factorization.

20296080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4053 (or 4044 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 20296080 is about 4505.1170905982. The cubic root of 20296080 is about 272.7746802436.

The spelling of 20296080 in words is "twenty million, two hundred ninety-six thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 4027 5040 8054 12081 16108 20135 24162 28189 32216 36243 40270 48324 56378 60405 64432 72486 80540 84567 96648 112756 120810 140945 144972 161080 169134 181215 193296 225512 241620 253701 281890 289944 322160 338268 362430 422835 451024 483240 507402 563780 579888 676536 724860 845670 966480 1014804 1127560 1268505 1353072 1449720 1691340 2029608 2255120 2537010 2899440 3382680 4059216 5074020 6765360 10148040 20296080