Search a number
-
+
20677040 = 2451311973
BaseRepresentation
bin100111011100…
…0000110110000
31102220111120022
41032320012300
520243131130
62015103012
7340515626
oct116700660
942814508
1020677040
1110742a6a
126b11a68
13438c647
142a63516
151c367e5
hex13b81b0

20677040 has 40 divisors (see below), whose sum is σ = 48465648. Its totient is φ = 8203520.

The previous prime is 20677037. The next prime is 20677051. The reversal of 20677040 is 4077602.

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

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 7 ways as a sum of consecutive naturals, for example, 9494 + ... + 11466.

Almost surely, 220677040 is an apocalyptic number.

20677040 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 20677040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24232824).

20677040 is an abundant number, since it is smaller than the sum of its proper divisors (27788608).

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

20677040 is a wasteful number, since it uses less digits than its factorization.

20677040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 20677040 is about 4547.2013370864. The cubic root of 20677040 is about 274.4707838709.

The spelling of 20677040 in words is "twenty million, six hundred seventy-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 1048 1310 1973 2096 2620 3946 5240 7892 9865 10480 15784 19730 31568 39460 78920 157840 258463 516926 1033852 1292315 2067704 2584630 4135408 5169260 10338520 20677040