Search a number
-
+
20960940 = 223571113349
BaseRepresentation
bin100111111110…
…1011010101100
31110102221000010
41033331122230
520331222230
62025133220
7343110420
oct117753254
943387003
1020960940
11109172a0
12702a210
13445b930
142ad8b80
151c909b0
hex13fd6ac

20960940 has 192 divisors, whose sum is σ = 79027200. Its totient is φ = 4008960.

The previous prime is 20960923. The next prime is 20960941. The reversal of 20960940 is 4906902.

It is a super-2 number, since 2×209609402 = 878722011367200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20960898 and 20960907.

It is not an unprimeable number, because it can be changed into a prime (20960941) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59886 + ... + 60234.

It is an arithmetic number, because the mean of its divisors is an integer number (411600).

Almost surely, 220960940 is an apocalyptic number.

20960940 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 20960940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39513600).

20960940 is an abundant number, since it is smaller than the sum of its proper divisors (58066260).

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

20960940 is a wasteful number, since it uses less digits than its factorization.

20960940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 20960940 is about 4578.3119159795. The cubic root of 20960940 is about 275.7212581764.

The spelling of 20960940 in words is "twenty million, nine hundred sixty thousand, nine hundred forty".