Base | Representation |
---|---|
bin | 100111111110… |
… | …1111010000000 |
3 | 1110110000202100 |
4 | 1033331322000 |
5 | 20331303234 |
6 | 2025150400 |
7 | 343116312 |
oct | 117757200 |
9 | 43400670 |
10 | 20962944 |
11 | 10918852 |
12 | 702b400 |
13 | 445c812 |
14 | 2ad97b2 |
15 | 1c91399 |
hex | 13fde80 |
20962944 has 96 divisors (see below), whose sum is σ = 62375040. Its totient is φ = 6750720.
The previous prime is 20962943. The next prime is 20962951. The reversal of 20962944 is 44926902.
20962944 is a `hidden beast` number, since 20 + 9 + 629 + 4 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×209629442 = 878890042294272, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 20962899 and 20962908.
It is not an unprimeable number, because it can be changed into a prime (20962943) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35419 + ... + 36005.
It is an arithmetic number, because the mean of its divisors is an integer number (649740).
Almost surely, 220962944 is an apocalyptic number.
20962944 is a gapful number since it is divisible by the number (24) 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 20962944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31187520).
20962944 is an abundant number, since it is smaller than the sum of its proper divisors (41412096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20962944 is a wasteful number, since it uses less digits than its factorization.
20962944 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 638 (or 623 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 36.
The square root of 20962944 is about 4578.5307687074. The cubic root of 20962944 is about 275.7300448020.
The spelling of 20962944 in words is "twenty million, nine hundred sixty-two thousand, nine hundred forty-four".
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