Search a number
-
+
20914340 = 2254383293
BaseRepresentation
bin100111111001…
…0000010100100
31110100120002012
41033302002210
520323224330
62024133352
7342524516
oct117620244
943316065
1020914340
1110895287
127007258
134443665
142ac5bb6
151c81c95
hex13f20a4

20914340 has 48 divisors (see below), whose sum is σ = 45638208. Its totient is φ = 8045184.

The previous prime is 20914339. The next prime is 20914343. The reversal of 20914340 is 4341902.

It is not an unprimeable number, because it can be changed into a prime (20914343) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 71234 + ... + 71526.

It is an arithmetic number, because the mean of its divisors is an integer number (950796).

Almost surely, 220914340 is an apocalyptic number.

20914340 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 20914340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22819104).

20914340 is an abundant number, since it is smaller than the sum of its proper divisors (24723868).

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

20914340 is a wasteful number, since it uses less digits than its factorization.

20914340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 20914340 is about 4573.2198722563. The cubic root of 20914340 is about 275.5167803236.

The spelling of 20914340 in words is "twenty million, nine hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 43 83 86 166 172 215 293 332 415 430 586 830 860 1172 1465 1660 2930 3569 5860 7138 12599 14276 17845 24319 25198 35690 48638 50396 62995 71380 97276 121595 125990 243190 251980 486380 1045717 2091434 4182868 5228585 10457170 20914340