Search a number
-
+
21968766 = 233735573
BaseRepresentation
bin101001111001…
…1011101111110
31112100010111000
41103303131332
521111000031
62102511130
7354505611
oct123633576
945303430
1021968766
1111445506
1274354a6
134722591
142cbc178
151dde3e6
hex14f377e

21968766 has 32 divisors (see below), whose sum is σ = 49497120. Its totient is φ = 7221312.

The previous prime is 21968761. The next prime is 21968773. The reversal of 21968766 is 66786912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21968761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1156 + ... + 6728.

It is an arithmetic number, because the mean of its divisors is an integer number (1546785).

Almost surely, 221968766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21968766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24748560).

21968766 is an abundant number, since it is smaller than the sum of its proper divisors (27528354).

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

21968766 is a wasteful number, since it uses less digits than its factorization.

21968766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5657 (or 5651 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 21968766 is about 4687.0850216312. The cubic root of 21968766 is about 280.0712658734.

The spelling of 21968766 in words is "twenty-one million, nine hundred sixty-eight thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 73 146 219 438 657 1314 1971 3942 5573 11146 16719 33438 50157 100314 150471 300942 406829 813658 1220487 2440974 3661461 7322922 10984383 21968766