Search a number
-
+
20400963 = 3112431307
BaseRepresentation
bin100110111010…
…0101101000011
31102101110212020
41031310231003
520210312323
62005132523
7335256012
oct115645503
942343766
1020400963
1110574600
1269ba143
1342c3a9b
1429d0a79
151bceae3
hex1374b43

20400963 has 24 divisors (see below), whose sum is σ = 30617664. Its totient is φ = 12067440.

The previous prime is 20400959. The next prime is 20400967. The reversal of 20400963 is 36900402.

It is an interprime number because it is at equal distance from previous prime (20400959) and next prime (20400967).

It is not a de Polignac number, because 20400963 - 22 = 20400959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20400967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14956 + ... + 16262.

It is an arithmetic number, because the mean of its divisors is an integer number (1275736).

Almost surely, 220400963 is an apocalyptic number.

20400963 is a deficient number, since it is larger than the sum of its proper divisors (10216701).

20400963 is a wasteful number, since it uses less digits than its factorization.

20400963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 20400963 is about 4516.7425208883. The cubic root of 20400963 is about 273.2437410448.

The spelling of 20400963 in words is "twenty million, four hundred thousand, nine hundred sixty-three".

Divisors: 1 3 11 33 43 121 129 363 473 1307 1419 3921 5203 14377 15609 43131 56201 158147 168603 474441 618211 1854633 6800321 20400963