Search a number
-
+
21960834 = 23731101167
BaseRepresentation
bin101001111000…
…1100010000010
31112022201121020
41103301202002
521110221314
62102410310
7354443520
oct123614202
945281536
1021960834
111143a555
127430996
13471ba9c
142cb9310
151ddbda9
hex14f1882

21960834 has 64 divisors (see below), whose sum is σ = 52641792. Its totient is φ = 5976000.

The previous prime is 21960833. The next prime is 21960847. The reversal of 21960834 is 43806912.

It is a junction number, because it is equal to n+sod(n) for n = 21960795 and 21960804.

It is not an unprimeable number, because it can be changed into a prime (21960833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131419 + ... + 131585.

It is an arithmetic number, because the mean of its divisors is an integer number (822528).

Almost surely, 221960834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21960834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26320896).

21960834 is an abundant number, since it is smaller than the sum of its proper divisors (30680958).

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

21960834 is a wasteful number, since it uses less digits than its factorization.

21960834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 21960834 is about 4686.2387903307. The cubic root of 21960834 is about 280.0375544867.

The spelling of 21960834 in words is "twenty-one million, nine hundred sixty thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 101 167 186 202 217 303 334 434 501 606 651 707 1002 1169 1302 1414 2121 2338 3131 3507 4242 5177 6262 7014 9393 10354 15531 16867 18786 21917 31062 33734 36239 43834 50601 65751 72478 101202 108717 118069 131502 217434 236138 354207 522877 708414 1045754 1568631 3137262 3660139 7320278 10980417 21960834